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
DOI:
https://doi.org/10.1090/S0002-9939-1970-0263042-6
MathSciNet review:
0263042
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
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