BOUNDEDNESS IN TOPOLOGICAL SPACES

被引：0

作者：

Di Maio, Giuseppe ^{[1
]}

Kocinac, Ljubisa D. R. ^{[2
]}

机构：

[1] Seconda Univ Napoli, Dipartimento Matemat, Via Vivaldi 43, I-81100 Caserta, Italy

[2] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

来源：

MATEMATICKI VESNIK | 2008年 / 60卷 / 02期

关键词：

Boundedness; B-cover; gamma(B)-cover; selection principles; topological games; partition symbol; countable fan tightness; countable strong fan tightness; T-tightness; C-b(X); hyperspaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate abstract boundedness in a topological space and demonstrate the importance of this notion in selection principles theory. Some applications to function spaces and hyperspaces are given. This approach sheds more light on several results scattered in the literature.

引用

页码：137 / 148

页数：12

共 26 条

[1]

Arhangel'skii A.V., 1992, TOPOLOGICAL FUNCTION

[2] Applications of k-covers II [J].

Caserta, A. ;

Di Maio, G. ;

Kocinac, Lj. D. R. ;

Meccariello, E. .

TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (17) :3277-3293

[3] Selection principles and hyperspace topologies [J].

Di Maio, G ;

Kocinac, LDR ;

Meccariello, E .

TOPOLOGY AND ITS APPLICATIONS, 2005, 153 (5-6) :912-923

[4] Applications of k-covers [J].

Di Maio, G. ;

Kocinac, Ljubisa D. R. ;

Meccariello, Enrico .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (04) :1151-1160

[5]

Di Maio G., TOPOLOGY APPL

[6]

DIMAIO G, 2003, APPL GEN TOPOL, V4, P421

[7]

Engelking R, 1977, GEN TOPOLOGY

[8] SOME PROPERTIES OF C(X),I [J].

GERLITS, J ;

NAGY, Z .

TOPOLOGY AND ITS APPLICATIONS, 1982, 14 (02) :151-161

[9]

Hu S. T., 1949, J MATH PURES APPL, V228, P287

[10] A generalisation of Borel's theorem. [J].

Hurewicz, Witold .

MATHEMATISCHE ZEITSCHRIFT, 1926, 24 :401-421

← 1 2 3 →