On a notion of maps between orbifolds, II. homotopy and CW-complex

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dc.creatorChen, Weimin
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:28:37Z
dc.date.available2026-07-07T07:28:37Z
dc.descriptionThis is the second of a series of papers which are devoted to a comprehensive theory of maps between orbifolds. In this paper, we develop a basic machinery for studying homotopy classes of such maps. It contains two parts: (1) the construction of a set of algebraic invariants -- the homotopy groups, and (2) an analog of CW-complex theory. As a corollary of this machinery, the classical Whitehead theorem which asserts that a weak homotopy equivalence is a homotopy equivalence is extended to the orbifold category.
dc.description51 pages, Communications in Contemporary Mathematics, to appear
dc.identifierhttps://arxiv.org/abs/math/0610085
dc.identifierhttp://arxiv.org/abs/math/0610085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117796
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject22A22, 55P99
dc.titleOn a notion of maps between orbifolds, II. homotopy and CW-complex
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