Resolvability in products of spaces of small cardinality

Anton Lipin

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arXiv · 2512.00415

Resolvability in products of spaces of small cardinality

Anton Lipin

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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.

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Anton Lipin. 2025-11-29. Resolvability in products of spaces of small cardinality. https://arxiv.org/abs/2512.00415

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