Gap functionals, proximities and hyperspace compactification

DOI10.1016/j.topol.2005.01.021zbMath1101.54013OpenAlexW2010075859MaRDI QIDQ818422

Giuseppe Di Maio, Somashekhar Amr Naimpally, Mark Sioen, Robert Lowen

Publication date: 20 March 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.021

zbMATH Keywords

approach spaceproximity spaceuniform gauge spaceSmirnov compactificationgap spacehyperspace structure

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Proximity structures and generalizations (54E05)

Related Items (8)

Unnamed Item ⋮ Uniform structures in the beginning of the third millenium ⋮ Bicompletion of metrically generated constructs ⋮ Uniqueness of completion for metrically generated constructs ⋮ Completion via nearness for metrically generated constructs ⋮ Zero dimensionality of the Čech-Stone compactification of an approach space ⋮ The Banaschewski compactification revisited ⋮ In memoriam: Somashekhar Naimpally (1931--2014).

Cites Work

• Proximal hypertopologies revisited
• AUnif: A common supercategory of pMET and Unif
• Weak representations of quantified hyperspace structures
• Approximations in functional analysis
• Quantifying completion
• The Wijsman and Attouch-Wets topologies on hyperspaces revisited
• ON THE METRIZATION LEMMA FOR UNIFORM SPACES
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