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RESEARCH PRODUCT
Topological systems and Artin glueing
Sergey A. Solovyovsubject
Artin approximation theoremClosed categoryAlgebraic structureMathematics::Category TheoryGeneral MathematicsConcrete categoryCategory of topological spacesVariety (universal algebra)TopologyEnriched categoryConductorMathematicsdescription
Abstract 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-07-18 | Mathematica Slovaca |