A note on separate continuity and connectivity properties
Roy A. Mimna (1997)
Mathematica Bohemica
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Separately continuous functions are shown to have certain properties related to connectedness.
Roy A. Mimna (1997)
Mathematica Bohemica
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Separately continuous functions are shown to have certain properties related to connectedness.
J. Hunt (1980)
Fundamenta Mathematicae
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Benjamin Halpern (1971)
Fundamenta Mathematicae
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Guido, Cosimo
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R. Kapała, A. Lelek (1962)
Colloquium Mathematicae
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Rudolph Hrycay (1970)
Fundamenta Mathematicae
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R. Moore (1922)
Fundamenta Mathematicae
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Sierpinski has shown (Wacław Sierpiński Sur une condition pour qu'un continu soit une courbe jordanienne, Fundamenta Mathematicae I (1920), pp. 44-60) that in order that a closed and connected set of points M should be a continuous curve it is necessary and sufficient that, for every positive number ϵ, the connected point-set M should be the sum of a finite number of closed and connected point-sets each of diameter less than ϵ. It follows that, as applied to point-sets which are closed,...