Categorical foundations of variety-based topology and topological systems

Name: Categorical foundations of variety-based topology and topological systems
Creator: Solovyov, Sergey A.
Keywords: Algebraic category, Semi-quantale, Fuzzy topology, Topological category, 0202 electrical engineering, electronic engineering, information engineering, Theories (e.g., algebraic theories), structure, and semantics, Topological system, 02 engineering and technology, 0101 mathematics, Powerset operator

Solovyov, Sergey A.

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Fuzzy Sets and Syste...arrow_drop_down

Fuzzy Sets and Systems

Article . 2012 . Peer-reviewed

License: Elsevier TDM

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zbMATH Open

Article . 2012

Data sources: zbMATH Open

https://dx.doi.org/10.1016/j.f...

Article

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Categorical foundations of variety-based topology and topological systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2012 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 192, pages 176-200 (issn: 0165-0114,

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Authors: Solovyov, Sergey A.;

doi: 10.1016/j.fss.2011.07.016

Categorical foundations of variety-based topology and topological systems

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Abstract

The author presents a new approach to fuzzy topology and obtains a categorical generalization of the notion of topological system of S. Vickers. He also justifies the use of semi-quantales as the basic underlying structure for doing lattice-valued topology.

Related Organizations

University of Latvia
Latvia
UL Institute of Mathematics and Computer Science
Latvia

Keywords

Algebraic category, Semi-quantale, Fuzzy topology, Topological category, Theories (e.g., algebraic theories), structure, and semantics, Topological system, Powerset operator, Topological theory

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