2 papers
math.CT2024
Expanding Äech cohomology for quantales
Ana Luiza Tenório, Peter Arndt, Hugo Luiz Mariano
We expand Äech cohomology of a topological space with values in a presheaf on to Äech cohomology of a commutative ring with unity with values in a presheaf on . Th…
math.CT2024
Grothendieck prelopologies: towards a closed monoidal sheaf category
Ana Luiza Tenório, Hugo Luiz Mariano
In this paper, we present a generalization of Grothendieck pretopologies -- suited for semicartesian categories with equalizers -- leading to a closed monoidal category of shea…