On topological motives
Algebraic Geometry
2022-05-18 v1 Algebraic Topology
Category Theory
K-Theory and Homology
Abstract
Following Eilenberg-Steenrod axiomatic approach we construct the universal ordinary homology theory for any homological structure on a given category by representing ordinary theories with values in abelian categories. For a convenient category of spaces we then obtain a universal abelian category which can be actually described for CW-complexes as the category of hieratic modules.
Cite
@article{arxiv.2107.07993,
title = {On topological motives},
author = {L. Barbieri-Viale},
journal= {arXiv preprint arXiv:2107.07993},
year = {2022}
}