query: Connectedness of A={$(x,y):x \in \mathbb{I}\,$ or$ \, y \in \mathbb{I}$}
positive_passages.docid: 19754
positive_passages.text: $\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
negative_passages.docid: 67088
negative_passages.text: Closure and pathwise connected
negative_passages.docid: 39455
negative_passages.text: Prove that $(X\times Y)\setminus (A\times B)$ is connected
negative_passages.docid: 28641
negative_passages.text: Suppose $Y\subset X$ and $X,Y$ are connected and $A,B$ form separation for $X-Y$ then, prove that $Y\cup A$ and $Y\cup B$ are connected
negative_passages.docid: 93623
negative_passages.text: Showing that every connected open set in a locally path connected space is path connected
negative_passages.docid: 124234
negative_passages.text: Prove that if $X$ and it's closure $\overline X$ are connected and if $X\subset Y \subset \overline X$, show that Y is also connected.
negative_passages.docid: 108394
negative_passages.text: Proof of that every interval is connected
negative_passages.docid: 36878
negative_passages.text: Prove that $\operatorname{SL}(n,\Bbb R)$ is connected.
negative_passages.docid: 1453
negative_passages.text: Prove that the graph is connected
negative_passages.docid: 156520
negative_passages.text: Intervals are connected and the only connected sets in $\mathbb{R}$
negative_passages.docid: 24050
negative_passages.text: Characterization of the Closure of a Set
negative_passages.docid: 89506
negative_passages.text: Union of disjoint sets : Equivalence relations
negative_passages.docid: 53101
negative_passages.text: Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
negative_passages.docid: 12104
negative_passages.text: How to prove this result involving the quotient maps and connectedness?
negative_passages.docid: 31266
negative_passages.text: Proof of "the continuous image of a connected set is connected"
negative_passages.docid: 45337
negative_passages.text: Suppose that $V, W$ are closed in $X$ and that $V\cap W, V\cup W$ are connected. Show that $V$ and $W$ are connected.
negative_passages.docid: 18572
negative_passages.text: Union of a family of connected pairwise not disjoint subspaces is connected