Oriented Singular Homology

Michael Barr

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.

AMS Classification (1990): 55N10, 18G35.

Theory and Applications of Categories, Vol. 1, 1995, No. 1, pp 1-9.

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