Further remarks on the formula for γ-interior

被引：30

作者：

Csaszar, A. ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA HUNGARICA | 2006年 / 113卷 / 04期

关键词：

operation; lambda-enlarging operation; quasi-enlarging operation; weakly quasi-enlarging operation; generalized topology; lambda-friendly operation; quasi-topology;

D O I：

10.1007/s10474-006-0507-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There is a formula for the interior of a set in a generalized topology composed of the gamma-open sets, where gamma is a monotonic map in the power set of X. There are known conditions for a gamma assuring that this formula is valid. The paper gives essential generalizations for these conditions and contains some applications.

引用

页码：325 / 332

页数：8

共 7 条

[1] Generalized open sets in generalized topologies [J].

Császár, A .

ACTA MATHEMATICA HUNGARICA, 2005, 106 (1-2) :53-66

[2] Remarks on the formula for γ-interior [J].

Császár, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (02) :490-494

[3] Generalized open sets [J].

Csaszar, A .

ACTA MATHEMATICA HUNGARICA, 1997, 75 (1-2) :65-87

[4] On the γ-interiors and γ-closure of a set [J].

Csaszar, A .

ACTA MATHEMATICA HUNGARICA, 1998, 80 (1-2) :89-93

[5] Generalized topology, generalized continuity [J].

Császár, A .

ACTA MATHEMATICA HUNGARICA, 2002, 96 (04) :351-357

[6]

HATIR E, ACTA MATH HUNGAR

[7] A study on thermal performance of heat pipe for optimum placement of satellite equipment [J].

Park, JH .

ETRI JOURNAL, 1997, 19 (02) :59-70

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