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Sheaves as modules
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Autores
Orientador(es)
Resumo(s)
We revisit sheaves on locales by placing them in the context of the
theory of quantale modules. The local homeomorphisms p : X → B are identified
with the Hilbert B-modules that are equipped with a natural notion of basis. The
homomorphisms of these modules are necessarily adjointable, and the resulting self dual category yields a description of the equivalence between local homeomorphisms
and sheaves whereby morphisms of sheaves arise as the “operator adjoints” of the
inverse images of the maps of local homeomorphisms.
Descrição
Palavras-chave
Sheaves Local homeomorphisms Locales Hilbert quantale modules . Faculdade de Ciências Exatas e da Engenharia
Contexto Educativo
Citação
Resende, P., & Rodrigues, E. (2010). Sheaves as modules. Applied Categorical Structures, 18(2), 199-217. https://doi.org/10.1007/s10485-008-9131-x
Editora
Springer