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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On tree-like continua which are homogeneous with respect to confluent light mappings


Author: Paweł Krupski
Journal: Proc. Amer. Math. Soc. 106 (1989), 531-536
MSC: Primary 54C10; Secondary 54F20, 54F50
DOI: https://doi.org/10.1090/S0002-9939-1989-0953010-5
MathSciNet review: 953010
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Abstract: If $ X$ is a tree-like continuum with property $ K$ which is homogeneous with respect to confluent light mappings, then $ X$ contains no two non-degenerate subcontinua with the one-point intersection. This is a generalization of C. L. Hagopian's result concerning homogeneous $ X$.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0953010-5
Keywords: Continuum, homogeneous, tree-like, property $ K$, confluent mapping, Effros' theorem, outlet point
Article copyright: © Copyright 1989 American Mathematical Society