Moniker1998

Novak space is extremally disconnected

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#1055

Hurewicz space

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https://math.stackexchange.com/questions/5034591/set-of-real-numbers-fails-to-satisfy-the-rothberger-selective-covering-property Is Hurewicz property already tracked? Either way, this will be either "add property" or "add name to a property". @StevenClontz

Space Suggestion: Dow plank

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## Space Suggestion ~~First example of non-normal extremally disconnected space is $\mathbb{N}\cup \\{p_A: A\in\mathcal{A}\\}$, $\mathcal{A}$ maximal almost disjoint family, $p_A\in \text{cl}_{\beta\mathbb{N}} A\setminus\mathbb{N}$. It's the space witnessing that $\beta\mathbb{N}$ is not...

Meta-property: Subspaces of extremally disconnected spaces

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In one of my posts, I wrote up a proposition which says that subspaces of extremally disconnected space which are intersections of dense and open subspace, are extremally disconnected and...

Katetov's non-normal subspace of $\beta\mathbb{N}$

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#360

Space Suggestion: Levy-Shapiro space

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## Space Suggestion Let $X_1$ be [Fort Space on the Real Numbers](https://topology.pi-base.org/spaces/S000154) and $X_2$ be [Unit interval [0,1]](https://topology.pi-base.org/spaces/S000158). The space $X$ is the subspace of $\mathbb{R}\times [0, 1] \cup \\{(\infty,...

Space Suggestion: Realcompactification of first measurable cardinal with discrete topology

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## Space Suggestion Let $\nu (\kappa)$ be Hewitt realcompactification of $\kappa$ with discrete topology, where $\kappa$ is the first measurable cardinal. ## Rationale If $X$ is a Tychonoff extremally disconnected...

Trait Suggestion: Long rays/lines S38, S39, S153 are Cozero complemented P61

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## Trait Suggestion Long rays/lines S38, S39, S153 are Cozero complemented P61, but this fact is not known to pi-Base today: [link to pi-Base 1](https://topology.pi-base.org/spaces/S000038/properties/P000061) [link to pi-Base 2](https://topology.pi-base.org/spaces/S000039/properties/P000061) [link...

Add realcompactification of Rudin's space and basic properties

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See #1139 While I'm not confident about Rudin's original proof that this space is ultraparacompact, I am confident that it is ultraparacompact. See [those notes](https://fa.ewi.tudelft.nl/~hart/37/onderwijs/old-courses/settop/rudin.pdf) by K. P. Hart (maybe...

Space Suggestion: Product of first uncountable ordinal with successor of the first uncountable ordinal

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## Space Suggestion Let $X$ be $\omega_1\times (\omega_1+1)$. ## Rationale This space is a classic example of a non-normal product, see e.g. Handbook of set theoretic topology chapter 18 example...