Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
NOTES ON THE s-SINGULAR AND t-SINGULAR HOMOLOGIES OF ORBIFOLDS
Misako YOKOYAMA
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2007 年 61 巻 1 号 p. 137-154

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In a preceding paper we have introduced the t-singular homology with integral coefficient of orbifolds, which captures the orbifold structures. In this paper we introduce the s-singular homology of orbifolds, and study the s-singular homology of orbifolds and the t-singular homology with rational coefficient of orbifolds. The main theorems are the following: (i) the s-singular homology group of an orbifold is isomorphic to the usual singular homology group of its underlying space;(ii) the t-singular homology groupwith rational coefficient of an orbifold is isomorphic to the usual singular homology group with rational coefficient of its underlying space.
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© 2007 by Faculty of Mathematics, Kyushu University
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