On β-paracompact spaces

被引：4

作者：

Demir, Izzettin ^{[1
]}

Ozbakir, Oya Bedre ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

FILOMAT | 2013年 / 27卷 / 06期

关键词：

beta-locally finite collection; beta-paracompact space; beta-expandable space;

D O I：

10.2298/FIL1306971D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, as a weak form of paracompact and expandable spaces, beta-paracompact spaces and beta-expandable spaces are defined, respectively. Some fundamental properties of these spaces are given. Also, it is proved that every beta-paracompact space is a beta-expandable space and the relations between these spaces and some previously studied spaces are investigated.

引用

页码：971 / 976

页数：6

共 50 条

[31] ON PARACOMPACT P-SPACES
ZENOR, PL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (04): : 687 - &
[32] ON D-PARACOMPACT SPACES
BRANDENBURG, H
TOPOLOGY AND ITS APPLICATIONS, 1985, 20 (01) : 17 - 27
[33] UNIONS OF STRONGLY PARACOMPACT SPACES
TRNKOVA, V
DOKLADY AKADEMII NAUK SSSR, 1962, 146 (01): : 43 - &
[34] CLOSED MAPS AND PARACOMPACT SPACES
SHAPIRO, HL
CANADIAN JOURNAL OF MATHEMATICS, 1968, 20 (03): : 513 - &
[35] ON A CLASS OF COUNTABLY PARACOMPACT SPACES
MACK, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (03) : 467 - &
[36] On a Uniform Analogue of Paracompact Spaces
Kanetov, B. E.
Baidzhuranova, A. M.
THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
[37] TEST SPACES FOR COHOMOLOGICAL DIMENSIONS OF PARACOMPACT SPACES
KUZMINOV, V
DOKLADY AKADEMII NAUK SSSR, 1968, 181 (03): : 538 - &
[38] Another note on the class of paracompact spaces whose product with every paracompact space is paracompact
Alster, K.
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (06) : 1640 - 1644
[39] ON PERFECT MAPPINGS OF PARACOMPACT SPACES
KLYUSHIN, V
DOKLADY AKADEMII NAUK SSSR, 1964, 159 (04): : 734 - &
[40] On Nearly Pairwise Paracompact Spaces
Mukharjee, Ajoy
Choudhury, Arup Roy
Bose, Manoj Kumar
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (02) : 213 - 223

← 1 2 3 4 5 →