orbifold.
A topological space in which every small enough neighborhood is homeomorphic to a quotient of real space by the action of a finite group.
Meaning & usage
A topological space in which every small enough neighborhood is homeomorphic to a quotient of real space by the action of a finite group.
Where this word comes from
Blend of orbit + manifold. Named by William Thurston.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.