# Homology and cohomology via enriched bifunctors

Source: [Homology and cohomology via enriched bifunctors](<https://www.sota2.com/research/paper/68fa4eed1e209131ce95f2bf>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:01:53.727Z

Authors: K. Shimakawa, K. Yoshida, T. Haraguchi

Published: 2010-10-16T10:31:57.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1010.3336>)

[PDF](<https://arxiv.org/pdf/1010.3336.pdf>)