A counterexample concerning Whitney reversible properties
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- by Janusz J. Charatonik and Włodzimierz J. Charatonik PDF
- Proc. Amer. Math. Soc. 130 (2002), 3097-3099 Request permission
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
- Alejandro Illanes and Sam B. Nadler Jr., Hyperspaces, Monographs and Textbooks in Pure and Applied Mathematics, vol. 216, Marcel Dekker, Inc., New York, 1999. Fundamentals and recent advances. MR 1670250
- Sam B. Nadler Jr., Hyperspaces of sets, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 49, Marcel Dekker, Inc., New York-Basel, 1978. A text with research questions. MR 0500811
- Sam B. Nadler Jr., Whitney-reversible properties, Fund. Math. 109 (1980), no. 3, 235–248. MR 597070, DOI 10.4064/fm-109-3-235-248
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
- Włodzimierz 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
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3097-3099
- MSC (2000): Primary 54B20, 54E40, 54F15
- DOI: https://doi.org/10.1090/S0002-9939-02-06390-6
- MathSciNet review: 1908935