CONVERGENCE

被引:14
作者
BENTLEY, HL
HERRLICH, H
LOWENCOLEBUNDERS, E
机构
[1] UNIV BREMEN,DEPT MATH,W-2800 BREMEN,GERMANY
[2] VRIJE UNIV BRUSSELS,DEPT MATH,B-1050 BRUSSELS,BELGIUM
关键词
D O I
10.1016/0022-4049(90)90130-A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Conv(S) the category of symmetric convergence spaces, and Chy, the category of Cauchy spaces, are embedded as full subcategories of Katetov's category, Fil, of filter merotopic spaces. Conv(S) and Chy are pleasantly related to their subcategories Conv(R), Pretop(R), and Haus, not only by sequences of reflectors or coreflectors, but also in that they can be built out of certain of these subcategories by taking merotopic subspaces.
引用
收藏
页码:27 / 45
页数:19
相关论文
共 62 条
[41]  
Kowalsky H. J., 1954, MATH NACHR, V12, P301
[42]  
KURATOWSKI CASIMIR, 1922, FUND MATH, V3, P182, DOI [DOI 10.4064/FM-3-1-182-199, 10.4064/fm-3-1-182-199]
[43]  
LOWENCOLEBUNDER.E, 1982, INT J MATH MATH SCI, V5, P513
[44]   ON COMPOSITION CLOSED FUNCTION CLASSES [J].
LOWENCOLEBUNDERS, E .
ACTA MATHEMATICA HUNGARICA, 1984, 44 (3-4) :181-189
[45]   ON THE REGULARITY OF THE KOWALSKY COMPLETION [J].
LOWENCOLEBUNDERS, E .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1984, 36 (01) :58-70
[46]  
LOWENCOLEBUNDERS E, 1985, THESIS VRIJE U BRUSS
[47]  
MROWKA S, 1958, FUND MATH, V45, P237
[48]  
NOVAK J, 1985, CONVERGENCE STRUCTUR
[49]  
POPPE H, 1974, COMPACTNESS GENERAL
[50]  
PREUSS G, 1984, CATEGORICAL TOPOLOGY, P441