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A note on almost δ-semicontinuous functions

Keywords: semi-regularization , δ-semicontinuity , almost δ-semicontinuity semi-continuity.

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Abstract:

In this note, we obtain some improvements of results established onδ-semicontinuous functions in [3] and show that a function f:(X,τ) → (Y, σ) is almost δ-semicontinuous if and only if f:(X, τ_s) → (Y, σ_s) is semi-continuous, where τ_s and σ_s are the semiregularizations of τ and σ, respectively.

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