Generalized topology, generalized continuity

被引：307

作者：

Császár, A ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Anal, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2002年 / 96卷 / 04期

关键词：

generalized topology; generalized neighbourhood system; generalized continuity; generalized theta-continuity;

D O I：

10.1023/A:1019713018007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper defines, with the help of generalized topologies and generalized neighbourhood systems, two kinds of generalized continuity, by giving in this way a general form to various concepts discussed in the literature. In particular, generalized continuity admits a characterization furnishing a known charcterization of theta-continuous maps.

引用

页码：351 / 357

页数：7

共 23 条

[1] Abd El-Monswf M., 1983, Bull. Fac. Sci. Assiut Univ, V12, P77
[2] Arya S. P., 1982, Ganita, V33, P124
[3] Beceren Y., 1995, B CALCUTTA MATH SOC, V87, P329
[4] Crossley S.G., 1972, Fund. Math., V74, P233
[5] Generalized open sets
Csaszar, A
[J]. ACTA MATHEMATICA HUNGARICA, 1997, 75 (1-2) : 65 - 87
[6] Extensions of topological spaces
Fomin, S
[J]. ANNALS OF MATHEMATICS, 1943, 44 : 471 - 480
[7] GANSTER SV, 1988, J I MATH COMPUT SCI, V1, P19
[8] JAFARI S, 1988, INDIAN J PURE APPL M, V29, P1195
[9] Kuratowski K, 1966, TOPOLOGY, VI
[10] SEMI-OPEN SETS AND SEMI-CONTINUITY IN TOPOLOGICAL SPACES
LEVINE, N
[J]. AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (01) : 36 - &

← 1 2 3 →