2010/10/16 by Kazuhisa Shimakawa, K. Shimakawa, K. Yoshida +6 · 1 citation
Mathematics · #18B30 #18G55 #55N20 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18B30 #msc:18G55 #msc:55N20
paper · pdf · doi:10.48550/arxiv.1010.3336
16 pages
arxiv created 2010/10/16 · openalex publication_date 2010/10/16 · arxiv updated 2010/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.