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arXiv · 2407.13951

The category of topological spaces and open maps does not have products

Guram Bezhanishvili·Andre Kornell
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Abstract

We prove that the category of topological spaces and open maps does not have binary products, thus resolving the Esakia problem in the negative. We also prove that the categories of complete Heyting algebras and complete closure algebras do not have binary coproducts.

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Guram Bezhanishvili, Andre Kornell. 2024-07-19. The category of topological spaces and open maps does not have products. https://arxiv.org/abs/2407.13951

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