SET CONVERGENCES - AN ATTEMPT OF CLASSIFICATION

被引：45

作者：

SONNTAG, Y ^{[1
]}

ZALINESCU, C ^{[1
]}

机构：

[1] UNIV IASI,FAC MATH,R-6600 IASI,ROMANIA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 340卷 / 01期

关键词：

CONVERGENCES ON HYPERSPACE; CLASSES OF SUBSETS; TYPES OF SEMIMETRICS; CLASSIFICATION;

D O I：

10.2307/2154552

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：199 / 226

页数：28

共 50 条

[41] AGRAMMATISM IN WRITTEN SPEECH (ATTEMPT AT CLASSIFICATION)
GRIBOVA, O
FOLIA PHONIATRICA ET LOGOPAEDICA, 1995, 47 (02) : 74 - 74
[42] On Classification of Revolutions: An Attempt at a New Approach
Shults, Eduard E.
SOCIAL EVOLUTION & HISTORY, 2019, 18 (02): : 244 - 259
[43] ATTEMPT OF GLOBAL CLASSIFICATION OF ORBITAL FRACTURES
SERRES, P
ANNALES D OCULISTIQUE, 1976, 209 (02): : 89 - 106
[44] The arabisms in TLF: attempt of historical classification
Baiwir, Esther
REVUE DE LINGUISTIQUE ROMANE, 2014, 78 (311): : 367 - 401
[45] Manufacturing branches in Poland - A classification attempt
Kwiatkowska-Ciotucha, D
Zaluska, U
Dziechciarz, J
EXPLORATORY DATA ANALYSIS IN EMPIRICAL RESEARCH, PROCEEDINGS, 2003, : 483 - 491
[46] An attempt at functional classification of the Romance languages
Gawelko, M
ROMANCE PHILOLOGY, 2001, 55 : 21 - 40
[47] ATTEMPT AT A NEW CLASSIFICATION OF SOILS OF EUROPE
KOWALINS.S
SOVIET SOIL SCIENCE-USSR, 1966, (03): : 276 - &
[48] NATURAL SCIENCES: DEFINITIONS AND ATTEMPT AT CLASSIFICATION
Kissin, Yury
COSMOS AND HISTORY-THE JOURNAL OF NATURAL AND SOCIAL PHILOSOPHY, 2013, 9 (02): : 116 - 137
[49] Seismites: An attempt at critical analysis and classification
Montenat, Christian
Barrier, Pascal
d'Estevu, Philippe Ott
Hibsch, Christian
SEDIMENTARY GEOLOGY, 2007, 196 (1-4) : 5 - 30
[50] MONOCLONAL GAMMOPATHIES - AN ATTEMPT AT A NEW CLASSIFICATION
RADL, J
NETHERLANDS JOURNAL OF MEDICINE, 1985, 28 (03): : 134 - 137

← 1 2 3 4 5 →