Homology and cohomology via enriched bifunctors

Details Homology and cohomology via enriched bifunctors Homology and cohomology via enriched bifunctors

2010-10-16

arxiv.org/abs/1010.3336v1

Mathematics

Algebraic Topology

16 pages

Scientific paper

We show that the category of numerically generated pointed spaces is
complete, cocomplete, and monoidally closed with respect to the smash product,
and then utilize these features to establish a simple but flexible method for
constructing generalized homology and cohomology theories by using the notion
of enriched bifunctors.

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