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Hypercomplete Convergence Spaces

โœ Scribed by Ronald Beattie


Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
286 KB
Volume
116
Category
Article
ISSN
0025-584X

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โœฆ Synopsis


This is the first of two papers whose purpose is to relate two very prominent closed graph theories: the hypercomplete spaces of KELLEY [6] and the webbed spaces of DE WILDE [3]. These theories have already been analysed in [7].


๐Ÿ“œ SIMILAR VOLUMES


P-Regular Convergence Spaces
โœ D. C. Kent; G. D. Richardson ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 485 KB

## Abstract A generalized notion of regularity is introduced which enables one to study locally compact spaces, sequential spaces, ฯ‰โ€regular spaces, and other diverse types of spaces as special wises of __p__โ€regular spaces.

Convergence Spaces with Webs
โœ Ronald Beattie ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 392 KB
Local Compactness in Fuzzy Convergence S
โœ Y. Boissy; P. Brock; G. Richardson ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 98 KB

Two notions of local precompactness in the realm of fuzzy convergence spaces are investigated. It is shown that the property of local precompactness possesses a ''good extension.'' Moreover, for each given fuzzy convergence space, there exists a coarsest locally precompact space which is finer than

On proximal convergence in uniform space
โœ Luminiลฃa Simona Vรฎลฃฤƒ ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 73 KB

## Abstract The paper deals with proximal convergence and Leader's theorem, in the constructive theory of uniform apartness spaces. (ยฉ 2003 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

Completion of Schwartz Convergence Vecto
โœ Mikael Lindsteรถm ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 385 KB

## 1. Definitions and introdiiction In this note it is shown that the completion of a SCHWARTZ space E in the category of L,L, -embedded spaces is Iinearly homeomorphic with the eJf-bidual LAM E . The connection between LA,, -embedded SCHWARTZ spaces and topological SCHWARTZ spaces is also studied.