Homology Theories with Cubical Bars

Details Homology Theories with Cubical Bars Homology Theories with Cubical Bars

2006-05-08

arxiv.org/abs/math/0605156v3

Mathematics

K-Theory and Homology

25 pages, 4 figures; complete revision; unchanged results

Scientific paper

We describe a variant of the classical singular homology theory, in which the
usual boundary (n-1)-cubes of each n-cube are replaced by combinations of
internal (n-1)-cubes parallel to the boundary. This defines a generalized
homology theory, but the usual singular homology can be recovered by taking the
quotient by the degenerate singular cubes.

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