Fell topology on the hyperspace of a non-Hausdorff space

被引：1
|
作者：
Hou J.-C. [1 ]
Vitolo P. [2 ]
机构：
[1] Department of Mathematics, Dalian Nationalities University, Liaoning 116600, No. 18 Liao He Western Rd., Dalian Eco. and Devmt. Zone
[2] Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza 85100, viale dell'Ateneo Lucano 10, Contrada Macchia Romana
来源：
Ricerche di Matematica | 2008年 / 57卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Countability axioms; Fell topology; Hyperspace; Non-Hausdorffness; Saturation; Topological convergence;
D O I：
10.1007/s11587-008-0032-y
中图分类号：
学科分类号：
摘要：
Fell topology is very widely used today, even in metric spaces; but J. Fell introduced it in a non-Hausdorff context in the connection with the theory of C*-algebras. In spite of this, it has been studied only on the hyperspace of a Hausdorff space, except for the first results due to Fell himself. The present paper aims to fill this gap, in particular extending some results of H. Poppe and of G. Beer to the general case. © 2008 Università degli Studi di Napoli "Federico II".
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页码：111 / 125
页数：14
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