Transversality theorem - Wikipedia

In differential topology, the transversality theorem, also known as the Thom transversality theorem after French mathematician René Thom, is a major result that describes the transverse intersection properties of a smooth family of smooth maps. It says that transversality is a generic property: any smooth map , may be deformed by an arbitrary small amount into a map that is transverse to a given s

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横断性定理。任意の多様体間の滑らかな写像 f : X→Y は、部分多様体 Z(⊂Y) に対して、わずかな摂動の下で横断的にできる。横断性は、安定的な性質である。