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Let $X,Y$ be Hausdorff spaces and consider the compact-open topology on $C(X,Y)$. Let $F\subseteq C(X,Y)$ be a non-empty subset and consider the topology $\tau$ on $C(X,Y)$ with subbase $$ B_F\triangleq \{f\in F: f(K)\subseteq V\}_{K \mbox{ compact in X}, U \mbox{ open in Y}}. $$ Is $F$ dense i...
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This question is a follow-up on: this question. Let $F$ be a non-empty subset of $C(X,Y)$, where $X,Y$ are Hausdorff (and for simplicity assume that $Y$ is metric). Let $\tau$ be the weak topology on $X$ generated by $F$. Let us denote $(X,\tau)$ by $\tilde{X}$ to avoid confusion. Is $F$...
@AIM_BLB I see that you have created the (function-spaces) tag. It might be useful to create at least some basic tag-info to clarify the intended usage of the tag. (Is it meant for topics from general topology, functional analysis or both? What is relation to some existing tags, such as (lp-spaces)?) — Martin Sleziak 13 secs ago
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meta tag-synonyms Should solution-verification and proof-verification be two separate tags on meta? I see some arguments in favor of keeping the tags with those names separate on the main site, as discussed here: What is the usefulness of having “proof-verification” and “solution-verification” as different tags? But on meta, I don't see the need for such distinction.
I don't remember a discussion about these two tag on meta. (Only the discussion about the tags on the main.) Although they were occasionally mentioned here in chat.
Dec 18 '17 at 13:20, by Martin Sleziak
I am not sure whether it is useful to have proof-verification and solution-verification as two separated tags on meta. Synonym?
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