Geodesic
On Suslinian Continua
Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 195-202

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DOI

A continuumis said to be Suslinian if it does not contain uncountably many mutually exclusive nondegenerate subcontinua. We prove that Suslinian continua are perfectly normal and rim-metrizable. Locally connected Suslinian continua have weight atmost ${{\omega }_{1}}$ and under appropriate set-theoretic conditions are metrizable. Non-separable locally connected Suslinian continua are rim-finite on some open set.
DOI : 10.4153/CMB-2005-017-4
Mots-clés : 54F15, 54D15, 54F50, Suslinian continuum, Souslin line, locally connected, rim-metrizable, perfectly normal, rim-finite 
Daniel, D.; Nikiel, J.; Treybig, L. B.; Tuncali, H. M.; Tymchatyn, E. D. On Suslinian Continua. Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 195-202. doi: 10.4153/CMB-2005-017-4
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     title = {On {Suslinian} {Continua}},
     journal = {Canadian mathematical bulletin},
     pages = {195--202},
     year = {2005},
     volume = {48},
     number = {2},
     doi = {10.4153/CMB-2005-017-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-017-4/}
}
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