Overview and comparison of localic and fixed-basis topological products

DOI10.1016/J.FSS.2010.05.013zbMath1210.54010OpenAlexW2015465752MaRDI QIDQ622029

Fatma Bayoumi, Stephen E. Rodabaugh

Publication date: 31 January 2011

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.05.013

zbMATH Keywords

\(L\)-sobriety\(L\)-spatiality\(L\)-spectracross products/sums of \(L\)-open subsetsframe/meetsemilattice coproductsframe/meetsemilattice quotientslocalic/topological productsnormalized/conormalized/hypernormalized \(L\)-topological spacesprime \(L\)-open setsproduct/sum/join/prime/projection separated families of \(L\)-topological spaces

Mathematics Subject Classification ID

Fuzzy topology (54A40) Categorical methods in general topology (54B30) Frames, locales (06D22) Product spaces in general topology (54B10)

Related Items (11)

Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives ⋮ Fundamental duality of abstract categories and its applications ⋮ On limits and colimits of variety-based topological systems ⋮ Interweaving algebra and topology: lattice-valued topological systems ⋮ Categorical foundations of variety-based topology and topological systems ⋮ Category-theoretic fuzzy topological spaces and their dualities ⋮ Categorically algebraic topology versus universal topology ⋮ Sobriety and spatiality in categories of lattice-valued algebras ⋮ Necessity of non-stratified and anti-stratified spaces in lattice-valued topology ⋮ Generalized fuzzy topology versus non-commutative topology ⋮ On fuzzification of topological categories

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