Homology and cohomology via enriched bifunctors

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.

K. Shimakawa, K. Yoshida, T. Haraguchi · 2010