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Dec 23, 2023 at 11:27 comment added Joseph Van Name The product of paracompact locales is always paracompact, but the Sorgenfrey plane is a product of two paracompact spaces that is not paracompact.
Dec 23, 2023 at 10:17 history edited Gro-Tsen
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Mar 8, 2023 at 20:16 comment added Gro-Tsen A reference for the folkore fact mentioned by @QiaochuYuan in his comment is proposition II.2.14 in Peter Johnstone's book Stone Spaces (1982): the locale $\Omega(\mathbb{Q}) \mathbin{\times_\ell} \Omega(\mathbb{Q})$ is not spatial.
Sep 27, 2019 at 0:49 vote accept Math Student 020
Sep 25, 2019 at 15:06 history edited YCor
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Sep 25, 2019 at 10:06 answer added Tomáš Jakl timeline score: 11
Sep 14, 2019 at 0:53 comment added Qiaochu Yuan I hear it's folklore that this isn't an isomorphism for $X = Y = \mathbb{Q}$.
Sep 13, 2019 at 23:59 history asked Math Student 020 CC BY-SA 4.0