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Compactification of Hereditarily Locally Connected Spaces

Published online by Cambridge University Press:  20 November 2018

E. D. Tymchatyn
E. D. Tymchatyn*
Affiliation:
University of Saskatchewan Saskatoon, Saskatchewan
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All spaces considered in this paper are completely regular and T1. A continuum is a compact, connected, Hausdorff space. A continuum is hereditarily locally connected if each of its subcontinua is locally connected. The reader may consult Whyburn [5] or Kuratowski [2] for a discussion on hereditarily locally connected metric continua. Nishiura and Tymchatyn [3] recently obtained some metric characterizations of connected subsets of hereditarily locally connected metric continua.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 6 , 01 December 1977 , pp. 1223 - 1229
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Isbell, J. R., Uniform spaces (Amer. Math. Soc., Providence, 1964).Google Scholar
2. Kuratowski, K., Topology II (Academic Press, New York, 1968).Google Scholar
3. Nishiura, T. and Tymchatyn, E. D., Hereditarily locally connected spaces, Houston J. Math. 2 (1976), 581–599.Google Scholar
4. Simone, J. N., Concerning hereditarily locally connected continua, to appear.Google Scholar
5. Whyburn, G. T., Analytic topology (Amer. Math. Soc, Providence, 1963).Google Scholar