Between α-closed Sets and Semi α-closed Sets
Journal Title: International Journal of Modern Engineering Research (IJMER) - Year 2014, Vol 4, Issue 6
Abstract
In general topology many strong and weak forms of open and closed sets have been defined and studied. Govindappa Navalagi introduced the concept of semi α-open sets which is a weaker form of α-open sets. Semi*α-open set is defined analogously by replacing the closure operator by the generalized closure operator due to Dunham in the definition of semi α-open sets. In this paper we introduce a new class of sets, namely semi*α-closed sets, as the complement of semi*α-open sets. We find characterizations of semi*α-closed sets. We also define the semi*α-closure of a subset. Further we investigate fundamental properties of the semi*α-closure. We define the semi*α-derived set of a subset and study its properties.
Authors and Affiliations
A. Robert, S. Pious Missier
Keywords
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