An extension of Stone duality to fuzzy topologies and MV-algebras

Details An extension of Stone duality to fuzzy topologies and MV-algebras An extension of Stone duality to fuzzy topologies and MV-algebras

2011-02-09

arxiv.org/abs/1102.2000v4

Mathematics

Logic

This paper has been withdrawn by the author due to a crucial gap in a proof

Scientific paper

In this paper we introduce the concept of MV-topology, a generalization of
general topology to fuzzy subsets, and we prove a proper extension of Stone
duality to, respectively, semisimple MV-algebras and a suitable category of
MV-topologies.

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