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.
On topological motives / L. BARBIERI VIALE. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 314:(2022 Jun 01), pp. 108141.1-108141.23. [10.1016/j.topol.2022.108141]
On topological motives
L. BARBIERI VIALE
2022
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.
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