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Decompositions of continuity, α-continuity and AB-continuity

Chaos, Solitons & Fractals, 2009
Abstract The aim of this paper is to introduce the classes of α AB -sets, AC -sets and BC -sets which are weaker forms of AB -sets, AB -sets, B -sets and AC -sets, respectively. The relationships of between α AB -sets and the related sets and between AC -sets and BC -sets are ...
EKİCİ, ERDAL, Noiri, Takashi
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A Continuous Tale on Continuous and Separately Continuous Functions

Real Analysis Exchange, 2016
The main objective of this survey research paper is to discuss the history and actual state of continuous and separately continuous functions problem from a real analysis perspective. The exposition includes as well some original results; the basic ones are Theorem 1.
Ciesielski, Krzysztof Chris, Miller, David   +1 more
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