Geodesic
Oriented Singular Homology
Theory and applications of categories, Tome 1 (1995), pp. 1-9
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We formulate three slightly different notions of oriented singular chain complexes and show that all three are naturally homotopic to ordinary singular chain complexes.

Keywords: Oriented singular homology, acyclic models. 
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     author = {Michael Barr},
     title = {Oriented {Singular} {Homology}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a0/}
}
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Michael Barr. Oriented Singular Homology. Theory and applications of categories, Tome 1 (1995), pp. 1-9. http://geodesic.mathdoc.fr/item/TAC_1995_1_a0/