first of all , a definition that is generally valid for the invention must be given for the terms “ distal ” and “ proximal ”. distal means “ facing away from the handle section of the applicator ” and proximal means “ facing towards the handle section of the applicator ”. thus , the distal end of the applicator element 4 or of the core element 5 is the end that , if the applicator element 4 or the core element 5 is mounted as intended , faces away the furthest from the handle section of the applicator . as can best be seen in fig7 , the cosmetics applicator 1 according to the invention consists of a handle section 2 which is connected to an applicator element 4 by means of a shaft section 3 . according to fig1 , the actual applicator element 4 itself consists of a core element 5 of the type shown in fig4 and a bristle element 6 . the bristle element 6 consists of a central part surrounding and filling the core element 5 in the manner which is to be explained in more detail later , and an area of bristles 9 that freely protrude outwardly therefrom in the radial direction . the outermost part of said central part forms a kind of imaginary bristle carrier tube 7 which serves as an attachment base for the bristles 9 , because the bristles are anchored on this bristle carrier tube with their bases . the production of the applicator element according to the invention is started with a core element 5 as it is shown in fig4 and 5 . this core element is produced as a separate element which is at first not connected to other components . the core element may consist of a variety of materials . preferably , it will be made from plastic but it may also consist of metal , for example . if the core element is made from plastic , production preferably takes place by means of injection molding . in most cases the core element 5 will consist of a comparatively hard material , and , due to the choice of its material and its geometrical configuration , it will be so rigid that it is deformed only to such an extent , under the influence of the forces acting on the finished applicator during application , that the center line on the distal end of the core element , in the loaded state of the core element , deviates from the center line l of the core element in the unloaded state by an amount δl that is no greater than 3 times , and better only by maximally 1 . 5 times the diameter of the core element , see fig8 . this core element 5 , as will be explained in more detail later , is overmolded with a plastic molding compound which forms a bristle element 6 comprising bristles 9 integrally attached thereto , i . e . bristles that consist of the same material as the rest of the bristle element , and that are manufactured together with it in a single step . preferably , this plastic molding compound has a considerably greater elasticity than the material of the core element 5 . given a corresponding dimensioning of the respective bristles , bristles are therefore obtained which are so elastic that their center line ( relative to the position of the center line of the unloaded bristle ) can be deflected at its outermost end by an amount abl which corresponds to at least 4 times and better at least 6 times the maximum bristle diameter d max that the bristle has in the area of its largest cross section , without the capacity of the bristle to spring back completely into its unloaded position being affected , see fig9 . the core element 5 itself consists of a coupling section 16 with a preferably continuously massive cross section as well as of a tube section 8 . the coupling section 16 serves for connection to the shaft section 3 . the tube section 8 has the shape of a preferably round tube or of a tube with a polygonal cross section . this means that the tube section 8 has on its inside a cavity 18 whose greatest extent substantially extends in the direction along the center line l . the cavity is substantially disposed around the center line l or even concentrically therewith . in this case , the tube section is provided with at least one first opening 10 through which the melt forming the bristle element 6 can enter the tube section or exit therefrom , and with at least one second opening 11 through which the melt forming the bristle element 6 can exit from the tube section or enter it . the at least one opening 10 is inserted in the area of the distal end of the core element 5 and preferably lies completely within an area whose surface is no more than 6 mm and ideally no more than 4 mm distant from the distal end of the core element 5 . ideally , the opening 10 even coincides with the distal end because the opening 10 is formed in the distal end face of the core element 5 , so that its free cross sectional area forms a plane which is positioned substantially perpendicularly to the center line l . the at least one second opening 11 is inserted in the vicinity of the coupling section 16 and preferably lies completely within an area whose surface is no more than 6 mm and ideally no more than 4 mm distant from the transition to the coupling section 16 . ideally , the at least one second opening 11 is even directly adjacent to the coupling section 16 . optimally , several second openings are provided which are substantially or completely diametrically opposite from one another on the circumference of the tube section 8 . such an arrangement is very expedient particularly if the melt forming the bristle element 6 is supposed to be injected from the side via at least one of the first openings or re - enters the tube section through one of these openings . for a certain “ penetrating injection ” thus becomes possible and prevents the radially inwardly injected melt from impacting excessively on the opposite side against the closed surface of the warm and thus delicate tube section wall and deforming it . such an arrangement of the at least one opening and the at least second opening ensures that the core element 5 can be overmolded completely , with the required accuracy and , above all , with the high speed required for forming all the fine bristles with a plastic molding compound forming the required bristle element 6 . preferably , the core element 5 is equipped with at least one further third opening which is located in the area of the core element extending between the at least one first opening and the at least one second opening . ideally , several third openings are even provided , preferably two ( possibly , but clearly not preferred , even three , or in rare exceptions even four ) third openings that are disposed substantially along a circumferential line extending around the core element 5 perpendicularly to the center line or longitudinal axis l . preferably , several third openings are diametrically opposed to one another in the manner already described above with regard to the second openings . preferably , the core element 5 , in addition to the third opening or openings , is also equipped with at least one fourth opening . this is located in the area of the core element extending between the third opening or openings and the at least one first opening . ideally , several fourth openings are even provided , preferably two ( possibly , but clearly not preferred , even three , or in rare exceptions even four ) fourth openings that are disposed along a circumferential line extending around the core element perpendicularly to the center line or longitudinal axis l . preferably , these fourth openings are diametrically opposed to one another in the manner already described above with regard to the second openings . in order to obtain a good injection result , the dimensioning of the first to fourth openings and of the core element 5 is of crucial importance . dimensioning is also dependent on the properties of the plastic molding compound that is used for producing the bristle element 6 . therefore , the person skilled in the art must and is able to determine for the respective individual case the exact dimensioning of the first to fourth openings that is optimal for the specific individual case by tests that are common in the field . based on the basic data specified herein that already substantially limit the possible range within which an optimization must be carried out , this is possible with relatively little effort that can be managed routinely . the core element 5 should preferably have an external diameter ad , wherein : 2 mm ≦ ad ≦ 5 mm . preferably , the following applies : 2 mm ≦ ad ≦ 4 mm . the wall thickness of the core element 5 in the area of its tube section 8 should comply with the following equation : 0 . 18 mm ≦ ws ≦ 0 . 75 mm . the axial length ar of the tube section 8 should be between a minimum of 5 mm , better a minimum of 10 mm and a maximum of 35 mm , better a maximum of 30 mm . every second opening 11 has a free cross section fq 11 whose surface area corresponds to a surface area of a circular hole with a radius of between 0 . 6 mm and 1 . 8 mm . the same ( fq 10 ) applies to every first opening 10 unless this first opening is formed in the end face of the core element 5 ; in that case , its free cross section results from the above - mentioned relations for the external diameter of the core element 5 and the wall thickness of the core element 5 . every third and fourth opening 12 or 13 , respectively , has a free cross section ( fq 12 and fq 13 , respectively ) whose surface area corresponds to the surface area of a circular hole with a radius of between 0 . 6 mm and 1 . 5 mm . as can be seen rather well in fig4 and 1 , the core element 5 is provided with a number of supporting organs 15 configured as locally limited projections that do not extend over the entire circumference and which protrude over the outer circumference of the core element 5 — these projections may be referred to as islands that protrude over the outer circumference of the core element 5 with a height h of 0 . 2 mm to 0 . 8 mm . in the preferred embodiment shown by fig4 and 5 , said supporting organs 15 are configured in the shape of cylinder sections whose diameter dn is preferably ≧ 0 . 4 mm and preferably ≦ 2 mm . if the supporting organs are not configured in the shape of cylinder organs but differently , they should preferably comprise a free surface provided for bracing against the injection mold which corresponds to the surface of cylinder sections whose diameter are within the aforementioned range . these supporting organs are configured in such a way that the core element braces itself with them against the surrounding inner wall of an injection mold , into which the core element 5 has been inserted in order to overmold in a second working step the core element 5 with a plastic molding compound which forms a bristle element 6 , as the fig1 and 2 show . such a bracing action at least effects a centering of the core element in the mold . preferably , the supporting organs are , however , configured to be so strong that they prevent the tube section 8 from being deformed excessively or being broken open under the influence of the internal pressure which the melt which later forms the bristle element 6 exerts thereon . for it is not desired that the tube section , under the influence of the internal pressure occurring during the injection process in its cavity , is deformed in such a way that the uniformity of the wall thickness of the bristle carrier tube suffers . because a more than only inconsiderable irregularity affects the purchase or even the formation of the bristles . in this manner , it is preferably ensured that , between the inner surface of the injection mold , from which the bristle - forming channels branch off , and the circumferential outer surface of the core element , a defined annular space with a gap height of preferably 0 . 2 mm to 0 . 8 mm , or in individual cases even up to 1 . 2 mm , remains free , through which the liquid plastic molding compound can be fed to the bristle - forming mold cavities during injection and which later forms the bristle carrier tube 7 . furthermore , the core element 5 has on the side of its coupling section 16 an annular first sealing section 14 which is suitable and intended for sealing contact with the inner surface of the injection mold that accommodates the core element 5 when it is overmolded with the plastic molding compound that later forms the bristle element . it is to be noted in this connection that the sealing section 14 lies in an area which is directly exposed from the inside to the pressure of the plastic molding compound with which the core element 5 is overmolded . in this way , a good sealing function is obtained , for the plastic molding compound tends to expand the sealing section 14 so that its diameter tends to increase , which in turn causes the sealing section 14 to be pressed well against the inner surface of the injection mold accommodating it , so that a reliable and accurately separating sealing function is obtained without any great effort . this is significant particularly if the core element 5 is overmolded with a plastic molding compound colored differently . in the overmolding of the core element 5 with the plastic molding compound that later form the bristle element 6 , the procedure is preferably such that this plastic molding compound is completely or at least predominantly first injected into the cavity of the tube section 8 , preferably via the opening on the end face located at the distal end of the tube section 8 , which in this exemplary embodiment forms the first opening . the injected plastic molding compound then spreads in the cavity and exits through the second , and optionally also the third and fourth openings into the outer area where it then forms the bristle carrier tube 7 and , above all , the bristles 9 rooted thereto . in this case , the core element is preferably configured in such a way that the plastic molding compound that is liquid during the injection process , following its exit from the second , third and / or fourth opening ( s ), has to flow in the longitudinal direction along the gap or annular gap between the inner surface of the injection mold and the outer surface of the core element to a certain extent , in order to fill all the form - forming cavities in this area . this kind of injection of the plastic molding compound has a decisive influence on the macroscopic properties of the plastic molding compound forming the bristle element 6 . on its way from the cavity of the tube section through the various openings into the gap or annular gap shaping the bristle carrier tube and thence into the capillaries shaping the individual bristles , the plastic molding compound is stretched . a pronounced orientation is thus imposed on the long - chained plastic molecules forming the bristles , which is reflected in improved properties of the bristles ( for example in a better bend recovery ). in this way , the performance characteristics of the bristles come closer to the advantageous performance characteristics of bristles of extruded or spun filaments . as can best be seen in fig1 , the regular cavity formed , thanks to the supporting organs , between the outer circumference of the core element 5 and the inner circumference of the injection mold accommodating it is filled completely by the plastic material that is molded on later . the latter forms a section in said cavity that can best be referred to as a bristle carrier tube 7 on whose outer circumference the bristles are rooted , i . e . from which the bristles protrude in the radial direction . however , the bristle carrier tube is not isolated but is integrally connected to the plastic molding compound filling the core or the cavity of the bristle carrier tube 7 , via the various openings in the tube section 8 of the core element 5 . in this manner , an intimate bond between the core element and the bristle element is produced which prevents , under any circumstances , that the bristle element is detached from the core element and displaced relative to it under the forces occurring during use — even if totally different plastic molding compounds or materials that can neither be welded not glued together are used for the core element and the bristle element . in this case , it is remarkable that the tube section 8 of the core element 5 , in the finished state of the applicator element 4 , is substantially completely ( as a rule , more than 90 %) surrounded by the plastic molding compound of the bristle element 6 , i . e . is substantially completely embedded therein . it is thus prevented that separating joints between the material of the core element and the material of the bristle element that are accessible from the outside occur in any significant degree , which could be populated by bacteria or germs in unfavorable circumstances . this exemplary embodiment completely corresponds to the above - described exemplary embodiment ( so that the statements there also apply here ) with the exception of the fact that this exemplary embodiment does not comprise third and fourth openings , but only a first opening in the distal end face of the core element and two ( not shown : in exceptional cases also three or in rare exceptions four ) second openings , preferably in the direct vicinity of the coupling section 16 . such an embodiment may have advantages with regard to injection molding and may therefore be advantageous over the first embodiment . especially given this particular type of overmolding of a core element , it was found for all exemplary embodiments that it is expedient to optimize the bristle covering for this special kind of production , namely as follows : the bristles are preferably divided into finger rings 19 , see fig3 . each finger ring 19 consists of a number of n bristles which , seen in the circumferential direction , stand one behind the other or at least substantially one behind the other ( up to ± 0 . 9 , better only up to ± 0 . 5 bristle diameter lateral deviation from the circumferential line ). a number of n finger rings substantially forms the entire bristle covering of the applicator protruding in the radial direction . preferably , the following applies : 14 & lt ; n & lt ; 44 and 6 & lt ; n & lt ; 32 . ideally , the following applies : 19 & lt ; n & lt ; 31 and 10 & lt ; n & lt ; 25 . preferably , the bristles are configured conically and taper towards their outer end . these bristles are preferably configured in such a way that their free length with which they protrude from the bristle carrier tube is at least five times , better at least seven times larger than their largest diameter — in all or at least the predominant number of the bristles . together with such a bristle covering or with the applicators according to the invention , especially adapted mascara masses are preferably being used which are composed as follows : 10 %- 40 % film - forming polymer ( natural or synthetic ) 10 %- 50 % neutralized stearic acid 5 %- 50 % non - ionic emulsifier 3 %- 20 % natural or synthetic waxes or mixtures of such waxes 0 %- 20 % natural and / or synthetic oils and / or esters and mixtures of the aforementioned substances , preferably partially volatile 5 %- 25 % organic or inorganic pigments , optionally including carbon black 0 %- 3 % antioxidants 0 %- 3 % preservatives .