A generalization of 2-homogeneous continua being locally connected
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- by Keith Whittington PDF
- Proc. Amer. Math. Soc. 126 (1998), 3131-3132 Request permission
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
- C. E. Burgess, Homogeneous continua, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, University of Wisconsin (1955), 75–78.
- Edward G. Effros, Transformation groups and $C^{\ast }$-algebras, Ann. of Math. (2) 81 (1965), 38–55. MR 174987, DOI 10.2307/1970381
- Gerald S. Ungar, On all kinds of homogeneous spaces, Trans. Amer. Math. Soc. 212 (1975), 393–400. MR 385825, DOI 10.1090/S0002-9947-1975-0385825-3
Additional Information
- Keith Whittington
- Affiliation: Department of Mathematics, University of the Pacific, Stockton, California 95211
- Email: kwhittington@uop.edu
- Received by editor(s): January 30, 1998
- Received by editor(s) in revised form: March 19, 1998
- Communicated by: Alan Dow
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3131-3132
- MSC (1991): Primary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-98-04988-0
- MathSciNet review: 1616577