On projections of products of spaces
2021 ◽
Vol 31
(3)
◽
pp. 409-413
We consider dense sets of products of topological spaces. We prove that in the product $Z^c=\prod\limits_{\alpha\in 2^\omega} Z_{\alpha},$ where $Z_\alpha=Z$ $(\alpha\in 2^\omega),$ there are dense sets such that their countable subsets have projections with additional properties. These properties entail that these dense sets contain no convergent sequences. By these properties we prove that the character of closed sets of the product is uncountable.
2020 ◽
Vol 9
(5)
◽
pp. 2573-2582
2020 ◽
Vol 9
(4)
◽
pp. 2161-2166
2020 ◽
Vol 9
(11)
◽
pp. 9031-9036