On a notion of maps between orbifolds, II. homotopy and CW-complex
Algebraic Topology
2007-05-23 v1 Geometric Topology
Abstract
This 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.
Keywords
Cite
@article{arxiv.math/0610085,
title = {On a notion of maps between orbifolds, II. homotopy and CW-complex},
author = {Weimin Chen},
journal= {arXiv preprint arXiv:math/0610085},
year = {2007}
}
Comments
51 pages, Communications in Contemporary Mathematics, to appear