IJPAM: Volume 83, No. 4 (2013)
1,2,3Department of Mathematics and Statistics
University of Tolima
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