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Modal logic axioms valid in quotient spaces of finite CW-complexes and other families of topological spaces - MaRDI portal

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Modal logic axioms valid in quotient spaces of finite CW-complexes and other families of topological spaces (Q1751496)

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scientific article; zbMATH DE number 6873331
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English
Modal logic axioms valid in quotient spaces of finite CW-complexes and other families of topological spaces
scientific article; zbMATH DE number 6873331

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    Modal logic axioms valid in quotient spaces of finite CW-complexes and other families of topological spaces (English)
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    25 May 2018
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    Summary: In this paper we consider the topological interpretations of \(\mathcal{L}_\square\), the classical logic extended by a ``box'' operator \(\square\) interpreted as interior. We present extensions of S4 that are sound over some families of topological spaces, including particular point topological spaces, excluded point topological spaces, and quotient spaces of finite CW-complexes.
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