Embeddings of Bornological Universes

被引：15

作者：

Beer, Gerald ^{[1
]}

机构：

[1] Calif State Univ Los Angeles, Dept Math, Los Angeles, CA 90032 USA

来源：

SET-VALUED ANALYSIS | 2008年 / 16卷 / 04期

关键词：

Bornology; Embedding; Coercive function; One-point extension; Tychonoff Embedding Theorem;

D O I：

10.1007/s11228-007-0068-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A bornological universe < X, tau, B) is a topological space < X, tau > equipped with a bornology B, that is, a cover of X that is hereditary and is closed under finite unions. In this paper, we give three different sets of necessary and sufficient conditions for the universe to be both topologically and bornologically embeddable in R(Y) for some index set Y. When this is possible, Y can be chosen to be a family of continuous coercive functions on X.

引用

页码：477 / 488

页数：12

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