On proximally closed mapping

Document Type : Research Paper

Authors

Saad Mahdi Jaber ¹

Marwah Yasir Mohsin ²

¹ Department of Mathematics, College of Education for Pure Science, University of Wasit, Wasit, Iraq

² Department of Mathematics, Directorate-General of Education of Wasit, Wasit, Iraq

Abstract

In this paper, we introduce the concept of proximally closed (or $\delta-$ closed) in the proximity spaces and study some of its properties.

Keywords

proximity space

proximally continuous mapping

(delta)-continuous

proximally isomorphic

$delta-$ homeomorphism

[1] V.A. Efremovich, The geometriya of proximity space, Math. Sb. 31 (1952) 189–200.

[2] S.A. Naimpally and B.D. Warrack, Proximity Spaces, Cambridge Tract, 1970.

[3] F. Riesz, Stetigkeitsbegriff und abstrakte Mengen, Int. Congress Math. IV (Rome), 2, R. Accad. Lincei, Rome, 1909 pp. 18–24.

[4] M. Smirnov Ju, On proximity spaces, Amer. Math. Soc. Transi. Ser 2, 38 (1964).

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