Approach groups

DOI10.1216/RMJM/1021477259zbMath0974.54024OpenAlexW4231725567MaRDI QIDQ5928724

Robert Lowen, Bart Windels

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-3/CONT30-3/CONT30-3.html

zbMATH Keywords

topological groupapproach spaceconvergence groupuniformization

Mathematics Subject Classification ID

Continuous maps (54C05) Topological groups (topological aspects) (54H11) Uniform structures and generalizations (54E15)

Related Items (12)

Convergence approach spaces: actions ⋮ Quantale-valued Cauchy tower spaces and completeness ⋮ Quantified functional analysis: recapturing the dual unit ball ⋮ Closure operators in convergence approach spaces ⋮ Links between Probabilistic Convergence Groups Under Triangular Norms and Enriched Lattice-Valued Convergence Groups ⋮ Stratified \(LMN\)-convergence tower groups and their stratified \(LMN\)-uniform convergence tower structures ⋮ Complete Heyting algebra-valued convergence semigroups ⋮ T₁ Approach Spaces ⋮ On the continuous action of enriched lattice-valued convergence groups: Some examples ⋮ Enriched lattice-valued convergence groups ⋮ Quantale-Valued Generalizations of Approach Groups ⋮ Quantale-Valued Uniformizations of Quantale-Valued Generalizations of Approach Groups

Cites Work

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• Limesräume
• A quasitopos containing CONV and MET as full subcategories
• AUnif: A common supercategory of pMET and Unif
• Uniform convergence structures
• Approach Spaces A Common Supercategory of TOP and MET

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