拓扑空间和开放映射范畴没有乘积

arXiv - MATH - Category Theory Pub Date : 2024-07-19 DOI:arxiv-2407.13951

Guram Bezhanishvili, Andre Kornell

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引用次数: 0

摘要

我们证明了拓扑空间和开映射范畴不存在二元乘积，从而从反面解决了埃萨基亚-詹利泽问题。我们还证明了完全海廷代数和完全闭合代数范畴不存在二元共乘积。

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

We prove that the category of topological spaces and open maps does not have binary products, thus resolving the Esakia-Janelidze 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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arXiv - MATH - Category Theory

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