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RESEARCH PRODUCT
A Note on Locally ??-compact Spaces
A.p. ŠKostakM.v. Gvazavasubject
Class (set theory)Pure mathematicsRiesz–Markov–Kakutani representation theoremGeneral NeuroscienceVague topologyHausdorff spaceMathematics::General TopologyLocally compact groupContinuous functions on a compact Hausdorff spaceGeneral Biochemistry Genetics and Molecular BiologyCompact spaceHistory and Philosophy of ScienceRelatively compact subspaceMathematicsdescription
: The local version of the concept of ℰτ-compactness (where ℰ is a class of Hausdorff spaces and ℰ is a cardinal) introduced by the first author as a generalization of Her-rlich's concept of ℰ-compactness (and hence, also of Mrowka's E-compactness) is defined and the corresponding theory is initiated. An essential part of the theory is developed under the additional assumption that all spaces from ℰ are absolute extensors for spaces under consideration. The theory contains as a special case the classical theory of local compactness.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-09-01 | Annals of the New York Academy of Sciences |