query: What does this question about dense subsets mean?
positive_passages.docid: 28804
positive_passages.text: No. of possible dense subsets of a metric space
negative_passages.docid: 114968
negative_passages.text: Partition of a set, definition not clear
negative_passages.docid: 61122
negative_passages.text: A continuous mapping is determined by its values on a dense set
negative_passages.docid: 24083
negative_passages.text: $f,g$ continuous from $X$ to $Y$. if they are agree on a dense set $A$ of $X$ then they agree on $X$
negative_passages.docid: 92571
negative_passages.text: Sets with no asymptotical density over $\mathbb N$
negative_passages.docid: 57839
negative_passages.text: Real analysis: density and continuity
negative_passages.docid: 141318
negative_passages.text: $\subset$ vs $\subseteq$ when *not* referring to strict inclusion
negative_passages.docid: 33309
negative_passages.text: Subgroup of $\mathbb{R}$ either dense or has a least positive element?
negative_passages.docid: 92390
negative_passages.text: The meaning of notation $\subset\subset$ in complex analysis
negative_passages.docid: 15695
negative_passages.text: Is ${\rm conv}({\rm ext}((C(X))_1))$ dense in $(C(X))_1$?
negative_passages.docid: 858
negative_passages.text: Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
negative_passages.docid: 107564
negative_passages.text: If two sets have a natural (asymptotic) density, does their union?
negative_passages.docid: 13550
negative_passages.text: For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
negative_passages.docid: 102250
negative_passages.text: Subset of $C[0,1]$ is nowhere dense
negative_passages.docid: 10472
negative_passages.text: Is every set a subset?
negative_passages.docid: 31559
negative_passages.text: If $Z\subseteq Y\subseteq X$ and $Z$ is compact in $Y$, then $Z$ is compact in $X$
negative_passages.docid: 17212
negative_passages.text: The preimage of a subset