Timeline for What is the name of the (possibly well-known) class of $\pi$-monolithic compact spaces?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 3, 2022 at 5:12 | comment | added | Alexander Osipov | Let $f:X->K$ be a continuous mapping $X$ onto a compact metric space $K$. Let $S$ be a countable dense subset of $K$. Then $T=\overline{f^{-1}(S)}$ is a compact metric space and $f(T)=K$. | |
| Apr 2, 2022 at 16:07 | comment | added | Alessandro Codenotti | @AlexanderOsipov could you elaborate/give a reference on why monolithic compact spaces satisfy this property? (I'm only familiar with the definition of monolithicity in terms of cardinal characteristics) | |
| Apr 2, 2022 at 10:28 | comment | added | Alexander Osipov | For example, a monolithic compact space (or a dyadic compact space) is $\pi$-monolithic. | |
| Apr 2, 2022 at 7:38 | comment | added | KP Hart | Do you have any non-trivial examples? | |
| Apr 2, 2022 at 6:52 | history | asked | Alexander Osipov | CC BY-SA 4.0 |