On the relationship between limit spaces, many valued topological spaces, and many valued preorders

DOI10.1016/j.fss.2008.08.007zbMath1186.54006OpenAlexW2084119720WikidataQ58331926 ScholiaQ58331926MaRDI QIDQ1037936

Lingqiang Li, Dexue Zhang

Publication date: 17 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.08.007

zbMATH Keywords

categoryconvergence spacetopologypreorderGalois correspondenceresiduated lattice\(L\)-topologylimit space\(L\)-preorder

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Categorical methods in general topology (54B30) Ordered sets (06A99) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

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\(\top\)-diagonal conditions and continuous extension theorem, Extensionality and \(\mathcal{E}\)-connectedness in the category of \(\top\)-convergence spaces, On enriched L-topologies: Base and subbase, On adjunctions between Lim, SL-Top, and SL-Lim, On the reflective and coreflective subcategory of stratified \(L\)-Čech closure spaces, On stratified \(L\)-convergence spaces: pretopological axioms and diagonal axioms, Stratified lattice-valued neighborhood tower group

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