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Proceedings of the American Mathematical Society

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

 

 

Planar $ \lambda $ connected continua


Author: Charles L. Hagopian
Journal: Proc. Amer. Math. Soc. 39 (1973), 190-194
MSC: Primary 54F20
MathSciNet review: 0315681
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Abstract: Certain fixed point and mapping properties of arcwise connected plane continua have recently been established for planar $ \lambda $ connected continua. We show that properties involving union, product, and intersection operations are also shared by arcwise and $ \lambda $ connected plane continua.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0315681-4
Keywords: Arcwise connectivity, lambda connected plane continua, topological products, cut points, hereditarily decomposable continua
Article copyright: © Copyright 1973 American Mathematical Society