Strongly path-confluent mappings

Abdo Qahis

Malaysia

University Kebangsaan Malaysia

School of mathematical Sciences, Faculty of Science and Technology,University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia

Mohd. Salmi Md. Noorani

Malaysia

University Kebangsaan Malaysia

School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia

Submitted: 2013-07-26

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Accepted: 2013-07-26

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DOI: https://doi.org/10.4995/agt.2013.1620
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Keywords:

Continuum, Connectedness, Components, Path-components, Quasi-components, Confluent maps, Path-confluent maps, Quasi- confluent maps, Strongly confluent maps, Strongly path-confluent maps

Supporting agencies:

This research was not funded

Abstract:

In this paper, we introduce a new class of path-confluent mapping, called strongly path-confluent maps. We discuss and study some characterizations and some basic properties of this class of mappings. Relations between this class and some other existing classes of mappings are also obtained. Also we study some operations on this class of mappings, such as: composition property, composition factor property, component restriction property and path-component restriction property.
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