Scarce swallowtail as far as the Arabian Peninsula, Pakistan, India and western China. A few specimens of the scarce swallowtail have been reported from central Sweden and the United Kingdom but they were probably only strays and not migrants. These swallowtail butterflies inhabit gardens, towns as well as the countryside, in fields and open woodlands. They are found in places with sloe thickets and particularly orchards. In the Alps they can be found up to altitudes of 2000 m., but usually they prefer foothills and lower levels. The presence of "Iphiclides podalirius" in the floodplain of the Morava River in the Slovak
Comma category exists. Lawvere showed that the functors formula_169 and formula_170 are adjoint if and only if the comma categories formula_171 and formula_172, with formula_173 and formula_174 the identity functors on formula_175 and formula_3 respectively, are isomorphic, and equivalent elements in the comma category can be projected onto the same element of formula_177. This allows adjunctions to be described without involving sets, and was in fact the original motivation for introducing comma categories. If the domains of formula_178 are equal, then the diagram which defines morphisms in formula_179 with formula_180 is identical to the diagram which defines a natural transformation formula_181. The