Abstract

A continuum X having the property of Kelley is constructed such that neither X × [0, 1], nor the hyperspace C(X), nor small Whitney levels in C(X) have the property of Kelley. This answers several questions asked in the literature.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Cartesian Product; Continuum; Property of Kelley

Library of Congress Subject Headings

Continuity
Hyperspace

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2008 American Mathematical Society, All rights reserved.

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