A NOTE ON THE SPACES WHICH ADMIT A WHITNEY MAP

被引：0

作者：

Loncar, Ivan ^{[1
]}

机构：

[1] Sveucilista Zagrebu, Fak Organizacije & Informat, Pavlinska 2, Varazdin 42000, Russia

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2005年 / 15卷 / 491期

关键词：

Hyperspace; Whitney map;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a non-metric continuum, and C(X) be the hyperspace of sub-continua of X. It is known that there is no Whitney map on the hyperspace 2X for non-metrizable Hausdorff compact spaces X. On the other hand, there exist non-metrizable continua which admit and ones which do not admit a Whitney map for C(X). In this paper we will study the propertis of non-metric spaces X which admit a Whitney map for C(X).

引用

页码：195 / 206

页数：12

共 5 条

[1] Elusive examples of non-metrizable continua which admit a Whitney map
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GEORGIAN MATHEMATICAL JOURNAL, 2007, 14 (04) : 711 - 719
[2] Dendrites which are determined by their positive Whitney levels
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Macias-Romero, Fernando
TOPOLOGY AND ITS APPLICATIONS, 2018, 250 : 1 - 26
[3] Whitney preserving maps onto decomposition spaces
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Topology Proceedings, Vol 29, No 1, 2005, 2005, 29 (01): : 115 - 125
[4] A NOTE ON GENERALIZED WHITNEY MAPS
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MATEMATICKI VESNIK, 2015, 67 (04): : 233 - 245
[5] A note on iterated duals of certain topological spaces
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THEORETICAL COMPUTER SCIENCE, 2002, 275 (1-2) : 69 - 77

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