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A continuum whose hyperspace of subcontinua is not  -contractible
Author(s):
Alejandro
Illanes
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2179-2182.
MSC (2000):
Primary 54B20
Posted:
February 12, 2002
MathSciNet review:
1896056
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Abstract:
A topological space  is said to be  -contractible provided that there exists a continuous onto function  such that  is homotopic to a constant function. Answering a question by Sam B. Nadler, Jr., in this paper we construct a metric continuum  such that its hyperspace of subcontinua  is not  -contractible.
References:
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Additional Information:
Alejandro
Illanes
Affiliation:
Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México 04510, D.F. México
Email:
illanes@matem.unam.mx
DOI:
10.1090/S0002-9939-02-06307-4
PII:
S 0002-9939(02)06307-4
Keywords:
Continuum,
$g$-contractible,
hyperspace
Received by editor(s):
April 24, 2000
Received by editor(s) in revised form:
February 19, 2001
Posted:
February 12, 2002
Communicated by:
Alan Dow
Copyright of article:
Copyright
2002,
American Mathematical Society
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