Separate continuity topology and a generalization of Sierpinski's theorem
General Topology
2016-01-28 v1
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.
Keywords
Cite
@article{arxiv.1601.07269,
title = {Separate continuity topology and a generalization of Sierpinski's theorem},
author = {V. V. Mykhaylyuk},
journal= {arXiv preprint arXiv:1601.07269},
year = {2016}
}