On topological motives
Autor: | LUCA BARBIERI VIALE |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
K-Theory and Homology (math.KT)
Mathematics - Category Theory Mathematics::Algebraic Topology Mathematics - Algebraic Geometry Algebraic Topology Mathematics::K-Theory and Homology Mathematics Algebraic Geometry Category Theory K-Theory and Homology Mathematics::Category Theory Mathematics - K-Theory and Homology FOS: Mathematics Algebraic Topology (math.AT) Category Theory (math.CT) Settore MAT/03 - Geometria Geometry and Topology Mathematics - Algebraic Topology Algebraic Geometry (math.AG) |
Popis: | 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. |
Databáze: | OpenAIRE |
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