Moxi003.JPG
juanmarqz
en
Moxi003, Klein bottle, Mathematical diagrams, Topology diagrams, 3-manifolds, Algebraic topology, Images with annotations
commons
en
Moxi003, to be used on 3d mflds in images: it is \scriptstyle M\ddot{o}\times I so its boundary \scriptstyle \partial (M\ddot{o}\times I)=M\ddot{o}\times\{0\}\cup (\partial M\ddot{o})\times I\cup M\ddot{o}\times \{1\} is the classical surface Klein bottle, Mö x I: the circle of black points marks an absolute deformation retract of this space, and any regular neighbourhood of it has again boundary as a Klein bottle, so Mö x I is an onion of Klein bottles
commons
ja
Moxi003、クラインボトル、数学図、トポロジー図、3次元多様体、代数的位相幾何学、注釈付き画像
commons_translated
ja
画像の3d mfldで使用するMoxi003は、 \scriptstyle M\ddot{o}\times I であるため、その境界 \scriptstyle \partial (M\ddot{o}\times I)=M\ddot{o}\times\{0\}\cup(\partial M\ddot{o}]\times I\cup M\cup{o}\times \{1\}は古典的な表面 クラインボトル、Mö x I:黒い点の円はこの空間の
commons_translated
obvious obviousness klein bottle intake manifold manifold topological vertical surface algebraic