Geodesic
Compactification of Hereditarily Locally Connected Spaces
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1223-1229

Voir la notice de l'article provenant de la source Cambridge University Press

All spaces considered in this paper are completely regular and T 1. 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. 
Tymchatyn, E. D. Compactification of Hereditarily Locally Connected Spaces. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1223-1229. doi: 10.4153/CJM-1977-122-5
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[1] 1. Isbell, J. R., Uniform spaces (Amer. Math. Soc., Providence, 1964). Google Scholar

[2] 2. Kuratowski, K., Topology II (Academic Press, New York, 1968). Google Scholar

[3] 3. Nishiura, T. and Tymchatyn, E. D., Hereditarily locally connected spaces, Houston J. Math. 2 (1976), 581–599. Google Scholar

[4] 4. Simone, J. N., Concerning hereditarily locally connected continua, to appear. Google Scholar

[5] 5. Whyburn, G. T., Analytic topology (Amer. Math. Soc, Providence, 1963). Google Scholar

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