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- W2090778578 abstract "For an orbifold M we define a new homology group, called t-singular homology group t - H q ( M ) by using singular simplicies intersecting ‘transversely’ with ΣM . The rightness of this homology group is ensured by the facts that the 1-dimensional homology group t - H 1 ( M ) is isomorphic to the abelianization of the orbifold fundamental group π 1 ( M , x 0 ) . If M is a manifold, t - H q ( M ) coincides with the usual singular homology group. We prove that it is a ‘b-homotopy’ invariant of orbifolds and develop many algebraic tools for the calculations. Consequently we calculate the t-singular homology groups of several orbifolds." @default.
- W2090778578 created "2016-06-24" @default.
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- W2090778578 date "2006-05-01" @default.
- W2090778578 modified "2023-09-29" @default.
- W2090778578 title "The t-singular homology of orbifolds" @default.
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- W2090778578 doi "https://doi.org/10.1016/j.topol.2005.05.006" @default.
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