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- W2012574735 abstract "We show that a projective space P^infty(Z/2) endowed with the Alexandrov topology is a classifying space for finite closed coverings of compact quantum spaces in the sense that any such a covering is functorially equivalent to a sheaf over this projective space. In technical terms, we prove that the category of finitely supported flabby sheaves of algebras is equivalent to the category of algebras with a finite set of ideals that intersect to zero and generate a distributive lattice. In particular, the Gelfand transform allows us to view finite closed coverings of compact Hausdorff spaces as flabby sheaves of commutative C*-algebras over P^infty(Z/2)." @default.
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- W2012574735 date "2008-12-31" @default.
- W2012574735 modified "2023-09-23" @default.
- W2012574735 title "Finite closed coverings of compact quantum spaces" @default.
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