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51
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Minimal length in the free homotopy class as translation length

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#metric-spaces #riemannian-geometry #fundamental-groups #covering-spaces #geodesic
96
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Every local section of a smooth covering map is smooth

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#differential-geometry #covering-spaces
90
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What is the relation of Lee's definition of a covering map to the standard definition?

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#differential-geometry #algebraic-topology #covering-spaces
252
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Topological definition of Spin$(p,q)$?

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#algebraic-topology #lie-groups #topological-groups #covering-spaces #spin-geometry
35
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A non-open evenly covered subset?

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#general-topology #algebraic-topology #examples-counterexamples #covering-spaces
63
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Visualizing the last two paragraphs of 3.2.3(b) solution.

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#algebraic-topology #homology-cohomology #fundamental-groups #covering-spaces #visualization
281
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How to determine the fundamental group of $ \{n\otimes n-m\otimes m:n,m\in S^2,(n,m)=0\} $.

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#algebraic-topology #manifolds #differential-topology #fundamental-groups #covering-spaces
62
Views

How do we generate the loop $ba$ from the loops $a^2,b^2$ and $ab\ $?

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#algebraic-topology #fundamental-groups #covering-spaces #free-groups
63
Views

Characterization of connected space via fully faithfulness of trivial covering functor

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#general-topology #algebraic-topology #connectedness #covering-spaces
46
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Proof of injective correspondence on covering space

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#algebraic-topology #covering-spaces
90
Views

Fundamental group of one of the covering spaces of $S^1 \vee S^1$ from Hatcher's book

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#algebraic-topology #fundamental-groups #covering-spaces
42
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Covers of $S^1 \vee S^1$ are directed 2-colored graphs

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#algebraic-topology #covering-spaces
110
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Manifold of $SU(2)$ and it's relation to physical rotations

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#group-theory #manifolds #lie-groups #covering-spaces
47
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Reference for universal cover of $\mathrm{SL}_2(\mathbb{R})$

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#reference-request #representation-theory #lie-groups #covering-spaces
65
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Can one prove the covering space of a manifold is second countable without using the fact that the fundamental group of a manifold is countable?

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#algebraic-topology #manifolds #fundamental-groups #covering-spaces

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