https://mathoverflow.net/questions/tagged/gn.general-topology
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https://mathoverflow.net/questions/510590/who-coined-the-term-clopen
gn.general topology - Who coined the term "clopen"? - MathOverflow
I was not sure whether this question is appropriate for this forum, but a quick search suggests that there is at least some precedent for asking about the...
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https://mathoverflow.net/questions/510295/is-countable-box-product-of-real-lines-a-cozero-complemented-space
gn.general topology - Is countable box product of real lines a cozero complemented space? -...
A cozero complemented space $X$ is a Tychonoff space such that if $U\subseteq X$ is a cozero set, then there is a cozero set $V$ such that $U\cap V =...
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https://mathoverflow.net/questions/tagged/gn.general-topology?tab=Frequent
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https://mathoverflow.net/questions/509712/non-constant-maps-between-t-2-spaces
gn.general topology - Non-constant maps between $T_2$-spaces - MathOverflow
Are there $T_2$-spaces $X, Y$, each having more than $1$ point, such that every continuous map $f:X\to Y$ is constant, and every continuous map $g:Y\to X$ is...
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https://mathoverflow.net/questions/243639/finitely-additive-measures-on-boolean-algebras-of-regular-open-subsets-is-there
gn.general topology - Finitely additive measures on Boolean algebras of regular open subsets: Is...
Let $\mathcal{X}$ be a topological space. An open subset $\mathcal{R}\subseteq\mathcal{X}$ is regular if it is the interior of its own closure. The...
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https://mathoverflow.net/questions/510590/who-coined-the-term-clopen?noredirect=1
gn.general topology - Who coined the term "clopen"? - MathOverflow
I was not sure whether this question is appropriate for this forum, but a quick search suggests that there is at least some precedent for asking about the...
gngeneraltopologycoinedterm
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https://mathoverflow.net/questions/510532/topological-version-of-arzela-ascoli-theorem
gn.general topology - Topological version of Arzela-Ascoli theorem? - MathOverflow
Equip $C(X, Y)$ with compact-open topology. Theorem. (Arzela-Ascoli) If $X, Y$ are Hausdorff and $Y$ is a uniform space, $S\subseteq C(X, Y)$ is pointwise...
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https://mathoverflow.net/questions/tagged/gn.general-topology?tab=Votes
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https://mathoverflow.net/questions/509206/is-the-complement-of-the-support-of-a-measure-on-a-topological-space-a-set-of-me
gn.general topology - Is the complement of the support of a measure on a topological space a set of...
$\DeclareMathOperator{\supp}{supp}$ Let $\mu$ be a (Borel) measure on a topological space $(X,T)$. By definition, for any $x \in \supp(\mu)^c$, it exists an...
gngeneraltopologycomplementsupport
https://mathoverflow.net/questions/509638/isotopy-to-achieve-finite-intersections
gn.general topology - Isotopy to achieve finite intersections - MathOverflow
I've asked this question on math.stackexchange a week ago, with no response. More context is available there. Suppose that $\alpha$ and $\beta$ are closed...
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https://mathoverflow.net/questions/tagged/gn.general-topology?tab=newest&page=3&pagesize=15
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https://mathoverflow.net/tags/gn.general-topology/synonyms
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https://mathoverflow.net/questions/504760/a-property-which-combines-total-paracompactness-and-strong-paracompactness
gn.general topology - A property which combines total paracompactness and strong paracompactness -...
Def 1. We call $X$ strongly paracompact if every open cover has a star-finite open refinement. Def 2. We call $X$ paracompact if every open cover has locally...
gngeneraltopologypropertycombines
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https://mathoverflow.net/questions/tagged/gn.general-topology?tab=newest&page=324&pagesize=15
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https://mathoverflow.net/questions/39403/connectivity-of-the-group-of-orientation-preserving-homeomorphisms-of-the-sphere
gn.general topology - connectivity of the group of orientation-preserving homeomorphisms of the...
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https://mathoverflow.net/questions/510544/straightening-a-polygonal-arc-in-the-plane
gn.general topology - Straightening a Polygonal Arc in the Plane - MathOverflow
In preparation for a book, a friend and I are trying to cheat our way to the Schoenflies Theorem in $\mathbb{R}^2$ and we have a reduction which seems very...
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https://mathoverflow.net/questions/510052/is-the-countable-box-product-of-real-lines-a-%c4%8cech-complete-space
gn.general topology - Is the countable box product of real lines a Čech-complete space? -...
This answer by Henno Brandsma points to this article by Frolik, where it's shown that countable box products of countably complete spaces are countably...
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