query: Prove that exist bijection between inverse image of covering space
positive_passages.docid: 7665
positive_passages.text: If $h : Y \to X$ is a covering map and $Y$ is connected, then the cardinality of the fiber $h^{-1}(x)$ is independent of $x \in X$.
negative_passages.docid: 132407
negative_passages.text: inverse image presheaf property
negative_passages.docid: 50649
negative_passages.text: On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
negative_passages.docid: 41359
negative_passages.text: Constructing a bijection
negative_passages.docid: 23125
negative_passages.text: Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
negative_passages.docid: 110464
negative_passages.text: Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
negative_passages.docid: 78698
negative_passages.text: Prove if $f$ has a right inverse function: $f\circ g=id_x$ $\iff$ $f$ is onto $Y$
negative_passages.docid: 16610
negative_passages.text: Surjectivity of a map from a space to itself
negative_passages.docid: 113109
negative_passages.text: Showing that a map is bijective and finding its inverse
negative_passages.docid: 100134
negative_passages.text: Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
negative_passages.docid: 45710
negative_passages.text: Finishing a proof: $f$ is injective if and only if it has a left inverse
negative_passages.docid: 97801
negative_passages.text: If $R_{1}$ and $R_{2}$ are relations on a set S with $R_{1};R_{2}=R_{2};R_{1}$. Then $R_{1}$ and $R_{2}$ are bijective maps
negative_passages.docid: 128966
negative_passages.text: Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
negative_passages.docid: 45792
negative_passages.text: Rigorous proof that surjectivity implies injectivity for finite sets
negative_passages.docid: 102299
negative_passages.text: Bijection between $\mathbb{R}^n$ and $\mathbb{R}^m$
negative_passages.docid: 156606
negative_passages.text: Universal covering spaces of homotopy equivalent spaces are homotopy equivalent
negative_passages.docid: 140711
negative_passages.text: Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$