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

Autor:	Bezhanishvili, Guram, Kornell, Andre
Rok vydání:	2024
Předmět:	Mathematics - Category Theory 18F60 54B10 54C10 06D20 06E25 03B45
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.13951 Zobrazit plný text záznamu View this record from Arxiv