Strictly webbed spaces and regularity properties of inductive limits

Sequentially complete, locally complete, locally Baire, and bornivorously webbed are equivalent for strictly webbed spaces. For inductive limits of strictly webbed spaces these properties are equivalent. Moreover, they imply regularity.

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Bibliographic Details
Main Author: Armando García-Martínez
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201010547
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author Armando García-Martínez
author_facet Armando García-Martínez
author_sort Armando García-Martínez
collection DOAJ
description Sequentially complete, locally complete, locally Baire, and bornivorously webbed are equivalent for strictly webbed spaces. For inductive limits of strictly webbed spaces these properties are equivalent. Moreover, they imply regularity.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-042e224047cf4a8ea7fa33c85930febb2025-02-03T01:25:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271169569910.1155/S0161171201010547Strictly webbed spaces and regularity properties of inductive limitsArmando García-Martínez0Instituto de Matemáticas, U.N.A.M. Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, MexicoSequentially complete, locally complete, locally Baire, and bornivorously webbed are equivalent for strictly webbed spaces. For inductive limits of strictly webbed spaces these properties are equivalent. Moreover, they imply regularity.http://dx.doi.org/10.1155/S0161171201010547
spellingShingle Armando García-Martínez
Strictly webbed spaces and regularity properties of inductive limits
International Journal of Mathematics and Mathematical Sciences
title Strictly webbed spaces and regularity properties of inductive limits
title_full Strictly webbed spaces and regularity properties of inductive limits
title_fullStr Strictly webbed spaces and regularity properties of inductive limits
title_full_unstemmed Strictly webbed spaces and regularity properties of inductive limits
title_short Strictly webbed spaces and regularity properties of inductive limits
title_sort strictly webbed spaces and regularity properties of inductive limits
url http://dx.doi.org/10.1155/S0161171201010547
work_keys_str_mv AT armandogarciamartinez strictlywebbedspacesandregularitypropertiesofinductivelimits