On ?-closure spaces

Authors

  • Miguel Caldas Fluminense Federal University image/svg+xml
  • Erdal Ekici Çanakkale Onsekiz Mart University image/svg+xml
  • Saeid Jafari College of Vestsjaelland South

Keywords:

pointwise λ -closed sets, λ -closure function, λ -continuous functions

Abstract

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

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Published

2006-09-07

Issue

Vol. 20 No. 39-40 (2006)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

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

How to Cite

On ?-closure spaces. (2006). Pro Mathematica, 20(39-40), 119-133. https://revistas.pucp.edu.pe/index.php/promathematica/article/view/10242