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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on connected and peripherally continuous functions

Author: Melvin R. Hagan
Journal: Proc. Amer. Math. Soc. 26 (1970), 219-223
MSC: Primary 54.60
MathSciNet review: 0263042
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Abstract: In this paper it is proved that under certain conditions on the domain and range spaces an open monotone connected function preserves unicoherentness and hereditary local connectedness. In addition, a monotone-light factorization theorem is proved for certain connected functions and peripherally continuous functions.

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Keywords: Open monotone connected function, peripherally continuous function, unicoherent continuum, hereditarily locally connected continuum, upper semicontinuous decomposition, monotone-light factorization
Article copyright: © Copyright 1970 American Mathematical Society