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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample concerning Whitney reversible properties


Authors: Janusz J. Charatonik and Wlodzimierz J. Charatonik
Journal: Proc. Amer. Math. Soc. 130 (2002), 3097-3099
MSC (2000): Primary 54B20, 54E40, 54F15
Published electronically: April 17, 2002
MathSciNet review: 1908935
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Abstract | References | Similar Articles | Additional Information

Abstract: Two properties of continua are shown which are strong Whitney reversible while not sequential strong Whitney reversible. This answers an old question of S. B. Nadler, Jr.


References [Enhancements On Off] (What's this?)

  • 1. A. Illanes and S. B. Nadler, Jr., Hyperspaces, M. Dekker, New York and Basel, 1999. MR 99m:54006
  • 2. S. B. Nadler, Jr., Hyperspaces of sets, M. Dekker, New York and Basel, 1978. MR 58:18330
  • 3. S. B. Nadler, Jr., Whitney-reversible properties, Fund. Math. 109 (1980), 235-248. MR 82b:54044

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Additional Information

Janusz J. Charatonik
Affiliation: Mathematical Institute, University of Wrocław pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland – and – Instituto de Matemáticas, UNAM Circuito Exterior, Ciudad Universitaria, 04510 México, D. F., México
Email: jjc@math.unam.mx

Wlodzimierz J. Charatonik
Affiliation: Mathematical Institute, University of Wrocław pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland – and – Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409-0020
Email: wjcharat@umr.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06390-6
PII: S 0002-9939(02)06390-6
Keywords: Continuum, hyperspace, Whitney map, Whitney property
Received by editor(s): March 27, 2001
Received by editor(s) in revised form: May 9, 2001
Published electronically: April 17, 2002
Communicated by: Alan Dow
Article copyright: © Copyright 2002 American Mathematical Society