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A generalization of 2-homogeneous continua being locally connected
Author(s):
Keith
Whittington
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3131-3132.
MSC (1991):
Primary 54F15
MathSciNet review:
1616577
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Abstract:
An elementary proof is given that if each pair of points of a homogeneous metric continuum can be mapped by a homeomorphism into an arbitrarily small connected set, then the continuum is locally connected.
References:
- 1.
- C. E. Burgess, Homogeneous continua, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, University of Wisconsin (1955), 75-78.
- 2.
- E. G. Effros, Transformation groups and C*-algebras, Ann. of Math. (2) 81 (1965), 38-55. MR 30:5175
- 3.
- G. S. Ungar, On all kinds of homogeneous spaces, Trans. Amer. Math. Soc. 212 (1975), 393-401. MR 52:6684
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Additional Information:
Keith
Whittington
Affiliation:
Department of Mathematics, University of the Pacific, Stockton, California 95211
Email:
kwhittington@uop.edu
DOI:
10.1090/S0002-9939-98-04988-0
PII:
S 0002-9939(98)04988-0
Keywords:
Homogeneous,
locally connected
Received by editor(s):
January 30, 1998
Received by editor(s) in revised form:
March 19, 1998
Communicated by:
Alan Dow
Copyright of article:
Copyright
1998,
American Mathematical Society
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