Resolvability in products of spaces of small cardinality

Abstract

We prove that: I. The product of any two regular isodyne spaces of cardinality ${\omega }_1$ is $\omega$-resolvable; II. The product of any $n+2$ Hausdorff isodyne spaces of cardinality ${\omega }_n$ is $\omega$-resolvable.

10 pages. Minor changes