Title of article
Uniformizing (proximal) Δ-topologies
Author/Authors
Di Maio، نويسنده , , G. and Meccariello، نويسنده , , E. and Naimpally، نويسنده , , S.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2004
Pages
15
From page
99
To page
113
Abstract
Beer and Tamaki investigated necessary and sufficient conditions for the uniformizability of (proximal) Δ-topologies.
proofs involved construction of special Urysohn functions. In this paper we attack the same problem using as a useful tool a uniform topology with reference to a Hausdorff uniformity patterned after the one related to the Attouch–Wets topology. We also study ΔU-topologies, proximal ΔU-topologies which are natural generalizations of the U-topology discovered by Costantini and Vitolo.
Keywords
First countability , Hyperspace , Metrizability , Uniformity , PROXIMITY , hypertopology , ?-Attouch–Wets topology , Proximal ?-topology , Proximal ?U-topology , ?U-topology , Vietoris topology , Fell topology , ?-topology , Second countability
Journal title
Topology and its Applications
Serial Year
2004
Journal title
Topology and its Applications
Record number
1576790
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