orbifold

/ˈɔɹ.bɪˌfoʊld/

UK: /ˈɔː.bɪˌfəʊld/

Ɔɹ · bɪfoʊld (2 syllables)

English Noun

Definition

A topological space in which every small enough neighborhood is homeomorphic to a quotient of real space by the action of a finite group.

Etymology

Blend of orbit + manifold. Named by William Thurston.