η -OPEN SETS IN TOPOLOGICAL SPACES
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Date
2019
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International Journal of Innovative Technology and Exploring Engineering
Abstract
In this paper a new class of open sets in a topological space called η-open sets is defined and the inclusive relationship of this set with the other existing sets like semi open, pre-open, α-open, r-open sets are discussed. In addition to this the concept of η-interior, η-closure, η-boundary, η-exterior, η-derived, η-border, η-neighbourhood, η-dense, η-residual are also introduced
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Keywords
η-open, η-closed, η-interior, η-closure, η-boundary, η-exterior, η-derived, η-border, η-neighbourhood, η-dense, η-residual