Publication Date
2006
Journal or Book Title
Communications in Contemporary Mathematics
Abstract
This is the second of a series of papers which is 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.
Pages
763-821
Volume
8
Issue
6
Recommended Citation
Chen, WM, "ON A NOTION OF MAPS BETWEEN ORBIFOLDS II: HOMOTOPY AND CW-COMPLEX" (2006). Communications in Contemporary Mathematics. 1198.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1198
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://www.worldscinet.com/ccm/08/0806/S0219199706002283.html