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A counterexample concerning Whitney reversible properties
Author(s):
Janusz
J.
Charatonik;
Wlodzimierz
J.
Charatonik
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3097-3099.
MSC (2000):
Primary 54B20, 54E40, 54F15
Posted:
April 17, 2002
MathSciNet review:
1908935
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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:
- 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 Wroclaw pl. Grunwaldzki 2/4, 50-384 Wroclaw, 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 Wroclaw pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland -- and -- Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409-0020
Email:
wjcharat@umr.edu
DOI:
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
Posted:
April 17, 2002
Communicated by:
Alan Dow
Copyright of article:
Copyright
2002,
American Mathematical Society
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