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15
71
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Prove that $p \circ p'$ is a covering map

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#algebraic-topology #covering-spaces
157
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monodromy representation associated with pushforward of constant sheaf

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#sheaf-theory #covering-spaces #local-systems #monodromy
122
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Show that the map $s : X \longrightarrow \widetilde X$ is well-defined.

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#algebraic-topology #covering-spaces
134
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Prove that any connected cover of $S^1$ of finite degree is homeomorphic to $S^1.$

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#general-topology #algebraic-topology #covering-spaces
96
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Intuition on fundamental group of $\mathbb R P^2.$

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#algebraic-topology #homotopy-theory #fundamental-groups #covering-spaces #projective-space
65
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Show that given a neighborhood $U \supseteq p^{-1} (y)$ in $X$ there exists a neighborhood $V_y \ni y$ in $Y$ such that $p^{-1} (V_y) \subseteq U.$

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#general-topology #covering-spaces
43
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Lifting smooth function $f:M\to S^1$ to a function $f:M\to\mathbb{R}$

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#algebraic-topology #category-theory #manifolds #fundamental-groups #covering-spaces
135
Views

Nice coordinate presentation of the covering map $S^2 \to \mathbb{R}P^2$

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#algebraic-topology #manifolds #complex-geometry #covering-spaces #complex-manifolds
71
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Word problem for groups and the universal cover

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#group-theory #algebraic-topology #fundamental-groups #covering-spaces #group-presentation
34
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Image of a graph under a covering map is a graph

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#graph-theory #algebraic-topology #covering-spaces
51
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Does $Spin(n,m)$ double cover only $SO(n,m)^+$

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#lie-groups #covering-spaces #spin-geometry
68
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Question about Picard's Little Theorem proof

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#complex-analysis #covering-spaces
78
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Algebraic morphisms as covering spaces

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#algebraic-geometry #complex-geometry #covering-spaces
66
Views

Show that the map $(z,w) \mapsto (z^{am} w^{bn}, z^{cm} w^{dn})$ is a covering map.

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#algebraic-topology #covering-spaces
178
Views

The fundamental group of closed orientable surface of genus 2 contains a free group on two generators

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#group-theory #algebraic-topology #fundamental-groups #covering-spaces #free-groups

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