Variable-basis topological systems versus variable-basis topological spaces

Authors:
Sergey A. Solovyov
Affiliations:
University of Latvia, Department of Mathematics, Zellu iela 8, 1002, Riga, Latvia
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Fuzzy Set Theory and Applications; Guest Editors: Ferdinand Chovanec, Olga Nánásiová, Alexander Šostak
Year:
2010

Citing 0
Cited 13

Necessity of non-stratified and anti-stratified spaces in lattice-valued topology

Fuzzy Sets and Systems
From quantale algebroids to topological spaces: Fixed- and variable-basis approaches

Fuzzy Sets and Systems
Fuzzy points and attachment

Fuzzy Sets and Systems
Overview and comparison of localic and fixed-basis topological products

Fuzzy Sets and Systems
Hypergraph functor and attachment

Fuzzy Sets and Systems
Fuzzy algebras as a framework for fuzzy topology

Fuzzy Sets and Systems
Generalized fuzzy topology versus non-commutative topology

Fuzzy Sets and Systems
On limits and colimits of variety-based topological systems

Fuzzy Sets and Systems
Interweaving algebra and topology: Lattice-valued topological systems

Fuzzy Sets and Systems
Categorical foundations of variety-based topology and topological systems

Fuzzy Sets and Systems
Composite variety-based topological theories

Fuzzy Sets and Systems
Formal concept analysis and lattice-valued Chu systems

Fuzzy Sets and Systems
Categorically algebraic topology versus universal topology

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

The paper introduces a variable-basis generalization of the notion of topological system of Vickers and considers functorial relationships between the categories of variable-basis topological systems and variable-basis fuzzy topological spaces in the sense of Rodabaugh.