ON GENERALIZED PRE-CLOSURE SPACES AND SEPARATION FOR SOME SPECIAL TYPES OF FUNCTIONS

Authors

  • Miguel Caldas Universidade Federal Fluminense - Departamento de Matematica Aplicada
  • Erdal Ekici Canakkale Onsekiz Mart University - Department of Mathematics
  • Saeid Jafari College of Vestsjaelland South

Keywords:

pre-closure-separated, pre-closure function, pre-continuous functions

Abstract

In this paper, we show that a pointwise symmetric pre-isotonic pre-closure functions is uniquely determined by the pairs of sets it separates. We then show that when the pre-closure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are pre-continuous.

Cover of n°27 Italian Journal of Pure and Applied Mathematics

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Published

2010-12-15

How to Cite

Caldas, M., Ekici, E., & Jafari, S. (2010). ON GENERALIZED PRE-CLOSURE SPACES AND SEPARATION FOR SOME SPECIAL TYPES OF FUNCTIONS. Italian Journal of Pure and Applied Mathematics, 27, 81–90. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5899

Issue

N°27 - December 2010

Section

Articoli - Forum Editrice

License

Copyright (c) 2010 Miguel Caldas, Erdal Ekici, Saeid Jafari

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)