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For a topological manifold $X$ is it true that $X$ is a covering of $X\lor X$?

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#general-topology #algebraic-topology #covering-spaces #fundamental-groups
73
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Reference request: systole of hyperbolic surface increases in covering space

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#differential-topology #riemannian-geometry #surfaces #hyperbolic-geometry #covering-spaces
132
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Covering $\Bbb RP^\text{odd}\longrightarrow X$, what can be said about $X$?

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#algebraic-topology #covering-spaces #projective-space #cw-complexes #compact-manifolds
159
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Is this induced homomorphism surjective?

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#algebraic-topology #homology-cohomology #surfaces #covering-spaces
284
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about covering space and compact base space

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#general-topology #algebraic-topology #compactness #covering-spaces
40
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Given a covering map between grupoids prove that the following are the same

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#algebraic-topology #category-theory #normal-subgroups #covering-spaces
156
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Calculate $p_*(\pi_1(\tilde{X},e_i))$

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#general-topology #geometry #algebraic-topology #covering-spaces #fundamental-groups
30
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On harmonic morphisms and covering maps

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#riemannian-geometry #smooth-manifolds #harmonic-functions #covering-spaces
83
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Hausdorff Property for a Covering Space of a Manifold $E\to M$.

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#general-topology #smooth-manifolds #covering-spaces
1.9k
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What is meant by "covering space corresponding to a subgroup of fundamental group"?

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#algebraic-topology #group-actions #covering-spaces #fundamental-groups #low-dimensional-topology
42
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Example of non-regular Riemannian covering map

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#algebraic-topology #riemannian-geometry #smooth-manifolds #covering-spaces
242
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The projective space $\Bbb RP^{2n}$ cannot be the total space of a nontrivial covering map

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#algebraic-topology #covering-spaces #projective-space
83
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Lie Algebras of Covering of a Group is Isomorphic to the Lie Algebra of the Group.

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#differential-geometry #lie-groups #lie-algebras #covering-spaces
167
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Fundamental groups of coset spaces

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#lie-groups #topological-groups #covering-spaces #quotient-spaces #fundamental-groups
168
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Showing that a given covering is not normal

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#complex-analysis #riemann-surfaces #covering-spaces

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