ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF VARIETY-BASED TOPOLOGICAL SYSTEMS

Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category TopSy...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2011-10, Vol.8 (5), p.13
1. Verfasser: Solovyov, Sergey A
Format: Artikel
Sprache:eng
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Zusammenfassung:Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category TopSys of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalued) topology can be embedded into algebra.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2011.295