Timeline for Is $\Box_{n\in\omega} \mathbb{R}$ metacompact?
Current License: CC BY-SA 4.0
4 events
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| Aug 21, 2018 at 22:30 | comment | added | Ramiro de la Vega | @TarasBanakh, Also under $\mathfrak{b}=\aleph_1$ and under $\mathfrak{d}=\mathfrak{c}$. | |
| Aug 21, 2018 at 20:44 | comment | added | Taras Banakh | It seems that the paracompactness of the box topology on $\mathbb R^\omega$ can be proved under $\mathfrak b=\mathfrak d$ (which is equivalent to the existence of a scale in $\omega^\omega$). | |
| Aug 21, 2018 at 16:29 | comment | added | James E Hanson | Wikipedia says that the box topology on $\mathbb{R}^\omega$ is paracompact if the continuum hypothesis holds and paracompact spaces are metacompact. So under CH the answer is positive. | |
| Aug 21, 2018 at 14:03 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |