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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
DOI: https://doi.org/10.1090/S0002-9939-1970-0263042-6
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.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0263042-6
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

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