On Suslinian Continua

• Autores: Edward D. Tymchatyn, L.B. Treybing, D. Daniel, Murat Tuncali, J. Nikiel
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 2, 2005, págs. 195-202
• Idioma: inglés
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• Resumen

  • A continuum is 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 at most omega1 and under appropriate set-theoretic conditions are metrizable. Non-separable locally connected Suslinian continua are rim-finite on some open set