On fuzzy sobriety

DOI10.1016/S0020-0255(97)10038-XzbMath0930.54012OpenAlexW1996094429MaRDI QIDQ1298346

Arun K. Srivastava, Anuruddha S. Khastgir

Publication date: 23 November 1999

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0255(97)10038-x

zbMATH Keywords

epireflective hullSierpinski spacefuzzy sober spaces

Mathematics Subject Classification ID

Fuzzy topology (54A40) Categorical methods in general topology (54B30)

Related Items (9)

SOBRIETY AND SEMI-SOBRIETY OF L-TOPOLOGICAL SPACES ⋮ Affine sets: the structure of complete objects and duality ⋮ Bounded sobriety and k-bounded sobriety of Q-cotopological spaces ⋮ On fuzzy monotone convergence \(\mathcal{Q}\)-cotopological spaces ⋮ The categories \(L\)-\(\mathbf{Top}_{0}\) and \(L\)-\(\mathbf{Sob}\) as epireflective hulls ⋮ Zariski closure, completeness and compactness ⋮ Sobriety of quantale-valued cotopological spaces ⋮ OnQ-sobriety ⋮ Some categorical aspects of fuzzy topology

Cites Work

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• Fuzzy Sierpinski space
• Point-set lattice-theoretic topology
• \(FTS_ 0:\) The epireflective hull of the Sierpinski object in FTS
• Fuzzy topological spaces and fuzzy compactness
• A localic \(L\)-fuzzy modification of topological spaces
• Epimorphisms in categories of separated fuzzy topological spaces
• Epireflections in the category of $T_0$-spaces
• Fuzzy topological spaces

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