Topological systems and Artin glueing

DOI10.2478/s12175-012-0037-6zbMath1274.18004OpenAlexW2001215246MaRDI QIDQ2905571

Sergey A. Solovyov

Publication date: 27 August 2012

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-012-0037-6

zbMATH Keywords

localevarietylocally presentable categoryfactorization structurecomma categorylocalic algebravariety-based topology(co)algebraic category(co)monadic categoryArtin glueingvariety-based topological systemvariety-based topological theory

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Theories (e.g., algebraic theories), structure, and semantics (18C10) Functor categories, comma categories (18A25)

Cites Work

• Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics
• Products of fuzzy topological spaces
• Pullback preserving functors
• Fuzzy topological spaces and fuzzy compactness
• The fuzzy Tychonoff theorem
• Artin glueing
• On the category \(Q\)-\textbf{Mod}
• L-fuzzy sets
• A theory of concepts and their combinations I
• A theory of concepts and their combinations II: A Hilbert space representation
• Fuzzy topological spaces