Set convergences. An attempt of classification-Reference-Cited by-同舟云学术

Set convergences. An attempt of classification

Published:1993 Issue:1 Volume:340 Page:199-226
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Sonntag Yves,Zălinescu Constantin

Abstract

We endow families of nonempty closed subsets of a metric space with uniformities defined by semimetrics. Such structure is completely determined by a class (which is a family of closed sets) and a type (which is a semimetric). Two types are sufficient to define (and classify) almost all convergences known till now. These two types offer the possibility of defining other set convergences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-340-01/S0002-9947-1993-1173857-8/S0002-9947-1993-1173857-8.pdf

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