Separate continuity topology and a generalization of Sierpinski's theorem

V. V. Mykhaylyuk

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arXiv · 1601.07269

Separate continuity topology and a generalization of Sierpinski's theorem

V. V. Mykhaylyuk

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Abstract

The separately continuity topology is considered and some its properties are investigated. With help of these properties a generalization of Sierpinski theorem on determination of real separately continuous function by its values on an arbitrary dense set is obtained.

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V. V. Mykhaylyuk. 2016-01-27. Separate continuity topology and a generalization of Sierpinski's theorem. https://arxiv.org/abs/1601.07269

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