A generalization of probabilistic uniform spaces

DOI10.1023/A:1013375301613zbMath1052.54027OpenAlexW88920498MaRDI QIDQ1597422

Harald Nusser

Publication date: 30 May 2002

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013375301613

zbMATH Keywords

\(t\)-normsprobabilistic convergence spacesprobabilistic uniform spacesbireflective and bicoreflective subcategoriescartesian closednessprobabilistic semiuniform convergence spacestopological universes

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Probabilistic metric spaces (54E70)

Related Items (13)

The category of stratified \(L\)-filter spaces ⋮ Quantale-valued Cauchy tower spaces and completeness ⋮ Probabilistic uniform convergence spaces redefined ⋮ Links between Probabilistic Convergence Groups Under Triangular Norms and Enriched Lattice-Valued Convergence Groups ⋮ Lattice-valued convergence spaces: extending the lattice context ⋮ Stratified \(L\)-ordered quasiuniform limit spaces ⋮ A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES ⋮ Gähler's neighborhood condition for lattice-valued convergence spaces ⋮ On diagonal completion of lattice-valued diagonal Cauchy spaces ⋮ A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces ⋮ Unnamed Item ⋮ Lattice-Valued Cauchy Spaces and Completion ⋮ Enriched lattice-valued convergence groups

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