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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

External equivalence classes in decompositions of spaces


Authors: W. Dębski and E. D. Tymchatyn
Journal: Proc. Amer. Math. Soc. 100 (1987), 781-784
MSC: Primary 54B15; Secondary 54F20
MathSciNet review: 894454
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Abstract: Let $ X$ be an indecomposable continuum in the plane. Krasinkiewicz has shown that the union of the external composants of $ X$ is a first category $ {F_\sigma }$ set in $ X$. We give extensions of this theorem to quite general decompositions of a space $ X$ embedded in a locally connected ambient space $ Y$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0894454-8
PII: S 0002-9939(1987)0894454-8
Article copyright: © Copyright 1987 American Mathematical Society