SET CONVERGENCES - AN ATTEMPT OF CLASSIFICATION

Authors
SONNTAG Y ZALINESCU C
Citation
Y. Sonntag et C. Zalinescu, SET CONVERGENCES - AN ATTEMPT OF CLASSIFICATION, Transactions of the American Mathematical Society, 340(1), 1993, pp. 199-226
Citations number
70
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
340
Issue
1
Year of publication
1993
Pages
199 - 226
Database
ISI
SICI code
0002-9947(1993)340:1<199:SC-AAO>2.0.ZU;2-U
Abstract
We endow families of nonempty closed subsets of a metric space with un iformities defined by semimetrics. Such structure is completely determ ined by a class (which is a family of closed sets) and a type (which i s a semimetric). Two types are sufficient to define (and classify) alm ost all convergences known till now. These two types offer the possibi lity of defining other set convergences.