On local versions of metric uc-ness, hypertopologies and function space topologies

被引：2

作者：

Alas, OT

Di Concilio, A ^{[1
]}

机构：

[1] Univ Sao Paulo, Sao Paulo, Brazil

[2] Univ Salerno, Fac Sci, I-84100 Salerno, Italy

来源：

TOPOLOGY AND ITS APPLICATIONS | 2002年 / 122卷 / 1-2期

关键词：

uniform continuity; local uniform continuity; uniform local uniform continuity; uc-ness; local uc-ness; uniform local uc-ness; uniform normality; Vietoris topology; Vietoris-type topologies; Hausdorff metric; Hausdorff topology; Attouch-Wets topology; metric spaces with nice closed balls; functional Hausdorff topology; functional Attouch-Wets topology; uniform convergence on the tubes;

D O I：

10.1016/S0166-8641(01)00131-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize a metric uc-ness of local nature, uc-ness means some continuity is uniform, as a uniform separation property. Then we reformulate it as a relationship between hypertopologies and finally as agreement between function space topologies. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：3 / 13

页数：11

共 15 条

[1] Uniformly continuous homeomorphisms [J].