IJPAM: Volume 83, No. 4 (2013)

LOW SEPARATION AXIOMS IN MINIMAL STRUCTURES

Jesús Ávila1, Erika Durán2, Ximena Moya3
1,2,3Department of Mathematics and Statistics
University of Tolima
Ibagué, COLOMBIA


Abstract. In this work we generalize some separation notions between T0 and T1 to m-spaces. In addition, we study the inclusion relations between the corresponding spaces and prove that the resultant diagram is different from the one in the topological case. Finally, we use the concepts of m-kernel, m-shell, m-derived and m-closure to characterize the new separation notions.

Received: August 4, 2012

AMS Subject Classification: 54A05, 54D10

Key Words and Phrases: separation axioms, m-spaces, m-open, m-closed, m-kernel, m-shell, m-derived, m-closure

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DOI: 10.12732/ijpam.v83i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 4