Group of closure isomorphisms of Cech closure spaces

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Kavitha T.
Sini P.
Ramachandran P. T.

Abstract

Here we discuss some results on the group of all closure isomorphisms of a \u{C}ech closure space. A subgroup \(H\) of the symmetric group \(S(X)\) is \(c\) representable on $X$ if there exists a closure operator \(V\) on $X$ such that the group of closure isomorphisms of the closure space \((X,\ V)\) is \(H\). In this paper, we prove a non trivial normal subgroup of the symmetric group \(S(X)\) is \(c\)-representable on \(X\) if and only if the cardinality of \(X\) is three.

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How to Cite
T., K., P., S., & T., R. P. (2016). Group of closure isomorphisms of Cech closure spaces. Journal of Advanced Studies in Topology, 7(3), 132-136. https://doi.org/10.20454/jast.2016.1061
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Original Articles