Abstract
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.
