Topological properties of the multifunction space L(X) of cusco maps

被引：7

作者：

Hola, L'. ^{[1
]}

Jain, Tanvi ^{[2
]}

McCoy, R. A. ^{[3
]}

机构：

[1] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia

[2] Indian Inst Technol, Dept Math, New Delhi 110016, India

[3] Virginia Tech, Dept Math, Blacksburg, VA 24060 USA

来源：

MATHEMATICA SLOVACA | 2008年 / 58卷 / 06期

关键词：

Primary; 54C60; 54B20; 54A25; 54E35; 54D65; cusco maps; multifunction space; Vietoris topology; upper Vietoris topology; lower Vietoris topology; cardinal functions; metrizability; complete metrizability; countability properties;

D O I：

10.2478/s12175-008-0107-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A set-valued mapping F from a topological space X to a topological space Y is called a cusco map if F is upper semicontinuous and F(x) is a nonempty, compact and connected subset of Y for each x X. We denote by L(X), the space of all subsets F of X x R such that F is the graph of a cusco map from the space X to the real line R. In this paper, we study topological properties of L(X) endowed with the Vietoris topology.

引用

页码：763 / 780

页数：18

共 50 条

[21] On topological properties of the Skorokhod space
Kolesnikov, AV
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1999, 43 (04) : 640 - 644
[22] On the properties of topological entropy on a compact family of maps
Vetokhin, A. N.
MATHEMATICAL NOTES, 2016, 99 (3-4) : 354 - 361
[23] Topological properties of certain iterated entire maps
Cao, Chunlei
Wang, Yuefei
Zhao, Huayu
ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (02)
[24] On the properties of topological entropy on a compact family of maps
A. N. Vetokhin
Mathematical Notes, 2016, 99 : 354 - 361
[25] Topological Properties from Conventional Fourier Maps
Torre-Fernandez, Laura
Garcia-Granda, Santiago
Menendez-Velazquez, Amador
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2005, 61 : C480 - C480
[26] HOMOTOPY GROUPS OF SPACE OF CONTINUOUS MAPS FROM A FIBER SPACE INTO A TOPOLOGICAL GROUP
LEGRAND, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (15): : 609 - 611
[27] MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS
Kishimoto, Daisuke
Oda, Nobuyuki
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2021, 23 (02) : 141 - 149
[28] ON A FINER TOPOLOGICAL SPACE THAN tau(theta) AND SOME MAPS
Ekici, E.
Jafari, S.
Latif, R. M.
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, (27): : 293 - 304
[29] TOPOLOGICAL PROPERTIES OF [X,Y]
PEZENNEC, JP
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (13): : 749 - 752
[30] Properties of Space Set Topological Spaces
Han, Sang-Eon
FILOMAT, 2016, 30 (09) : 2475 - 2487

← 1 2 3 4 5 →