Homology of sheaves via Brown representability

de Salas, Fernando

doi:10.1090/tran/8602

Homology of sheaves via Brown representability
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by Fernando Sancho de Salas;

Trans. Amer. Math. Soc. 376 (2023), 123-151

DOI: https://doi.org/10.1090/tran/8602

Published electronically: October 7, 2022

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Abstract:

We give an elementary construction of homology of sheaves from Brown representability for the dual and see how its main properties are derived easily from the construction. Comparison with Poincaré-Verdier duality and with homology of groups are also developed.

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