๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Countability and semi-uniformities

โœ Scribed by A.K. Steiner; E.F. Steiner


Book ID
103096034
Publisher
Elsevier Science
Year
1973
Weight
446 KB
Volume
3
Category
Article
ISSN
0016-660X

No coin nor oath required. For personal study only.

โœฆ Synopsis


It is shown that if a semi-uniformity has a base consisting of countable coversI, xists a compatible finer uniformity.


๐Ÿ“œ SIMILAR VOLUMES


Di-uniformities and Hutton uniformities
โœ Selma ร–zรงaฤŸ; Lawrence M. Brown; Biljana Krsteska ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB
Semi-continuous multifunctions and bases
โœ Boualem Alleche; Jean Calbrix ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

This paper is devoted to the problem of selections. An important result in this area is Michael's theorem on double selection for lower semi-continuous closed valued multifunctions. Recently we obtained a generalization of this theorem to a subclass of the so-called generalized metric spaces, namely

Sharp bases and weakly uniform bases ver
โœ A.V. Arhangel'skiฤฑฬŒ; W. Just; E.A. Rezniczenko; P.J. Szeptycki ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 86 KB

A base B for a topological space X is said to be sharp if for every x โˆˆ X and every sequence (U n ) nโˆˆฯ‰ of pairwise distinct elements of B with x โˆˆ U n for all n the set { i<n U i : n โˆˆ ฯ‰} forms a base at x. Sharp bases of T 0 -spaces are weakly uniform. We investigate which spaces with sharp bases

Countability via capacity
โœ N. Levenberg; T.J. Ransford; J. Rostand; Z. Sล‚odkowski ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Springer-Verlag ๐ŸŒ French โš– 100 KB