๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some results on property (a)

โœ Scribed by Winfried Just; Mikhail V. Matveev; Paul J. Szeptycki

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
165 KB
Volume
100
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

โœฆ Synopsis

A space X has property (a) if for every open cover U of X and for each dense D โŠ† X there is a closed discrete F โŠ† D such that St(F, U) = X. In this paper, the relationship between property (a) and normality is investigated. A consistent example of a normal space without property (a) is constructed. A weakening of property (a) is defined and studied. Examples of nonmetrizable Moore spaces with property (a) are given. The question for which spaces X with property (a) the product X ร— (ฯ‰ + 1) also has property (a) is studied.

๐Ÿ“œ SIMILAR VOLUMES

A Survey of Some Results in Connection w
A Survey of Some Results in Connection with Grothendieck Approximation Property
โœ Oleg Reinov ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 487 KB

## 80. Introduction and notation The well-known notions of the approximation property ( A P ) and the \)ounded approximation property ( B A P ) introduced by A. GROTHENDIECK in his famous work [4] play a very important role in the theory of operators in BANACH spaces. If we know that given spaces

Some Remarks on a Relative Anti-Closure
Some Remarks on a Relative Anti-Closure Property
โœ A. A. Mullin ๐Ÿ“‚ Article ๐Ÿ“… 1961 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 263 KB ๐Ÿ‘ 1 views

## SOME REMARKS ON A RELATIVE AXTI-CLOSURE PROPERTY ') by A. A. MULLIN in Urbana, Illinois (U. S.A.

Some results on gaps
Some results on gaps
โœ Zoran Spasojeviฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 776 KB