In: Mathematica Slovaca, vol. 62, no. 4
Sergey A. Solovyov
Details:
Year, pages: 2012, 647 - 688
Keywords:
Artin glueing, (co)algebraic category, comma category, factorization structure, locale, localic algebra, locally presentable category, (co)monadic category, variety, variety-based topological system, variety-based topological theory, variety-based topolog
About article:
Using methods of categorical fuzzy topology, the paper shows a relation between topological systems of S. Vickers and Artin glueing of M. Artin. Inspired by the problem of interrelations between algebra and topology, we show the necessary and sufficient conditions for the category, obtained by Artin glueing along an adjoint functor, to be (co)algebraic and (co)monadic, incorporating the respective result of G. Wraith. As a result, we confirm the algebraic nature of the category of topological systems, showing that it is monadic.
How to cite:
ISO 690:
Solovyov, S. 2012. Topological systems and Artin glueing. In Mathematica Slovaca, vol. 62, no.4, pp. 647-688. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0037-6
APA:
Solovyov, S. (2012). Topological systems and Artin glueing. Mathematica Slovaca, 62(4), 647-688. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0037-6
About edition: