ON A NOTION OF MAPS BETWEEN ORBIFOLDS II: HOMOTOPY AND CW-COMPLEX
2006 ◽
Vol 08
(06)
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pp. 763-821
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Keyword(s):
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.
2018 ◽
Vol 62
(2)
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pp. 553-558
Keyword(s):
1968 ◽
Vol 19
(1)
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pp. 17-31
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1982 ◽
Vol 34
(1)
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pp. 31-43
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Keyword(s):
2012 ◽
Vol 33
(6)
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pp. 1732-1747
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Keyword(s):
2020 ◽
Vol 13
(2)
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pp. 68-108