English

Separately continuous functions on products and its dependence on $\aleph$ coordinates

General Topology 2016-01-12 v1

Abstract

It is investigated necessary and sufficient conditions on topological spaces X=sSXsX=\prod\limits _{s\in S}X_s and Y=tTYtY=\prod\limits _{t\in T}Y_t for the dependence of every separately continuous functions f:X×YRf:X\times Y\to \mathbb R on at most \aleph coordinates with respect to the first or the second variable.

Keywords

Cite

@article{arxiv.1601.02343,
  title  = {Separately continuous functions on products and its dependence on $\aleph$ coordinates},
  author = {V. V. Mykhaylyuk},
  journal= {arXiv preprint arXiv:1601.02343},
  year   = {2016}
}
R2 v1 2026-06-22T12:26:34.060Z