On important aspects of open sets widespread with respect to an ideal

  • Carlos CARPINTERO
  • Ennis ROSA Universidad de Oriente
Keywords: weakly semi open set with respect to an ideal, I - alpha -open, I - beta -open, semi open set with respect to an ideal. Conjunto débilmente semi abierto con respecto a un ideal, I-α-abierto, I-β-abierto, conjunto semi abierto con respecto a un ideal.

Abstract

This paper illustrate and comments a bit more in relation to some relevant aspects of recent research in cite FRM, cite RD, cite RH and cite CMPR; where it comes to looking under what conditions can give affirmative answer to the following problem: given a topological space (X; tau) and A subsetX, A satisfies a condition W if and only if cl(A) also satisfies it. It is well known that the property of compactness, connectedness among others are not applicable in this context. This is the reason that we need to devise a context where we can provide necessary conditions to give answer in certain cases. In this article, using the notion of weakly semi open set with respect to an ideal, we give answer to the problem, as well as their relations with others well known sets in the literature.

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References

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Published
2015-07-30
How to Cite
CARPINTERO, C., & ROSA, E. (2015). On important aspects of open sets widespread with respect to an ideal. Revista MATUA ISSN: 2389-7422, 2(1). Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1348