Strongly path-confluent mappings

Authors

  • Abdo Qahis University Kebangsaan Malaysia
  • Mohd. Salmi Md. Noorani University Kebangsaan Malaysia

DOI:

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

Keywords:

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

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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Author Biographies

Abdo Qahis, 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, University Kebangsaan Malaysia

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

References

J. J. Charatonik, Confluent mappings and unicoherence of continua, Fund. Math. 56 (1964), 213–220.

J. J. Charatonik, Component restriction property for classes of mappings, Mathematica Pannonica 14, no. 1. (2003), 135–143.

J. Grispolakis, A. Lelek and E. D. Tymchatyn, Connected subsets of nitely Suslinian continua, Colloq. Math. 35 (1976), 31–44.

J. Grispolakis, Confluent and related mappings defined by means of quasi-components, Can. J. Math. 30, no. 1, (1978), 112–132. http://dx.doi.org/10.4153/CJM-1978-010-x

F. C. Helen, Introduction to General topology, Boston: University of Massachusetts, 1968.

K. Kuratowski, Topology, volume I, PWN - Polish Scientific Publishers, Academic Press, Warsaw, New York and London, 1966.

K. Kuratowski, Topology, vol. 2, Academic press and PWN, 1968.

A. Lelek, Ensembles-connexes et le thoereme de Gehman, Fund. Math. 47 (1959), 265–276.

A. Qahis and M. S. M. Noorani, On Quasi-!-Confluent Mappings, Internat. J. Math. Math. Sci. 2011, Article ID 270704, 9 pages.

A. Qahis and M. S. M. Noorani, A strong form of confluent mappings, Questions and Answers in General Topology 30, no. 2 (2012), 139–152.

G. T. Whyburn, Analytic topology, Amer. Math. Soc. Colloq. Publ.28, Providence, 1942.

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How to Cite

[1]
A. Qahis and M. S. M. Noorani, “Strongly path-confluent mappings”, Appl. Gen. Topol., vol. 14, no. 1, pp. 85–95, Apr. 2013.

Issue

Vol. 14 No. 1 (2013)

Section

Regular Articles

License

Creative Commons License

This journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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