Generalized Rigid Sets, Contractibility of Hyperspaces, and Coselections

W. J. Charatonik

Generalized Rigid Sets, Contractibility of Hyperspaces, and Coselections

W. J. Charatonik

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the notion of R^i subsets, and we show that containing such sets, called generalized rigid sets, implies noncontractibility of the hyperspaces. We also discuss existence of coselections into the hyperspace of subcontinua.

Original language	American English
Journal	Spring Topology and Dynamics Conference Proceedings
State	Published - Jan 1 2005

Disciplines

Mathematics
Statistics and Probability

Cite this

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title = "Generalized Rigid Sets, Contractibility of Hyperspaces, and Coselections",

abstract = " We generalize the notion of R\textasciicircum{}i subsets, and we show that containing such sets, called generalized rigid sets, implies noncontractibility of the hyperspaces. We also discuss existence of coselections into the hyperspace of subcontinua.",

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M3 - Article

JO - Spring Topology and Dynamics Conference Proceedings

JF - Spring Topology and Dynamics Conference Proceedings

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Generalized Rigid Sets, Contractibility of Hyperspaces, and Coselections

Abstract

Disciplines

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