query: How to show that X is connected ?
positive_passages.docid: 153492
positive_passages.text: Let $p\colon X \to Y$ be a quotient map then if each set $p^{-1}({y})$ is connected, and if $Y$ is connected, then $X$ is connected.
negative_passages.docid: 31937
negative_passages.text: How do I prove equality of x and y?
negative_passages.docid: 108837
negative_passages.text: How to show that $\vdash (\forall x \beta \to \alpha) \leftrightarrow \exists x (\beta \to \alpha)$?
negative_passages.docid: 33994
negative_passages.text: How to check if Node connected to another node input in Python
negative_passages.docid: 41655
negative_passages.text: Simple equation for $x$ but getting no proof.
negative_passages.docid: 116866
negative_passages.text: $A\times B$ connected component implies $A,B$ connect components
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: 112731
negative_passages.text: If $Y$ is connected, why is $A\cup Y$ connected in this case?
negative_passages.docid: 55902
negative_passages.text: Show $R[x]/(x)\cong R$
negative_passages.docid: 110075
negative_passages.text: How to show the given equality
negative_passages.docid: 87647
negative_passages.text: How to know if the graph is an interval graph?
negative_passages.docid: 86263
negative_passages.text: How do we show there are the same number of elements in each of the sets?
negative_passages.docid: 26919
negative_passages.text: Intersection of Connected Sets
negative_passages.docid: 10541
negative_passages.text: How to prove Mandelbrot set is simply connected?
negative_passages.docid: 105852
negative_passages.text: How to verify whether or not there exists a vector $x$ such that $Ax > 0$?
negative_passages.docid: 33316
negative_passages.text: Show that if $G$ is simple a graph with $n$ vertices and 􏰈the number of edges $m>\binom{n-1}{2}$, then $G$ is connected.
negative_passages.docid: 146364
negative_passages.text: $X$ is connected iff $\forall A\subset X,$ $\partial A\neq\emptyset$