SOME TOPOLOGICAL PROPERTIES ON A CONSTRUCTED INVOLUTION PERMUTATION METRIC SPACE

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Abstract

In this study, a metric is constructed on set of
some permutations on Sn called involution permutations. Some
topological properties of the metric permutation space were in-
vestigated. The study shows that every subset of the metric
involution permutation space is open, and the topological space
generated by the metric involution permutations space is Haus-
dorff, disconnected and normal.

Author Biographies

Garba Abor Isa, Usmanu Danfodiyo University, Sokoto

Departmetn of Mathematics, Senior Lecturer

B. Alhassan, Usmanu Danfodiyo University, Sokoto

Department of Mathematical Sciences

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Published

2021-05-18

How to Cite

Isa, G. A., & Alhassan, B. (2021). SOME TOPOLOGICAL PROPERTIES ON A CONSTRUCTED INVOLUTION PERMUTATION METRIC SPACE. Journal of the Nigerian Mathematical Society, 40(1), 17–29. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/580

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