Author:
Daniel D.,Nikiel J.,Treybig L. B.,Tuncali H. M.,Tymchatyn E. D.
Abstract
AbstractA 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 ω1 and under appropriate set-theoretic conditions are metrizable. Non-separable locally connected Suslinian continua are rim-finite on some open set.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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2. Homogeneous Suslinian Continua;Canadian Mathematical Bulletin;2011-06-01
3. The Suslinian number and other cardinal invariants of continua;Fundamenta Mathematicae;2010
4. Lifting paths on quotient spaces;Topology and its Applications;2009-05
5. Topology in North Bay;Open Problems in Topology II;2007