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Fundamental group Pi1(SU(n)) and Pi2(SU(n))

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#general-topology #algebraic-topology #fundamental-groups
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Fundamental groupoid

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#algebraic-topology #homotopy-theory #fundamental-groups
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Fundamental Group of surface with infinite genus is free on infinite generators

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#algebraic-topology #fundamental-groups
271
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Surjection of the fundamental group of a manifold onto a free group induces a map onto a wedge of circles, why?

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#algebraic-topology #manifolds #fundamental-groups #smooth-manifolds
84
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Proving $S^{4}/G$ is simply connected where $G$ is not a free group action

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#general-topology #algebraic-topology #fundamental-groups
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Mobius band does not retract to boundary circle - specific part

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#algebraic-topology #fundamental-groups
1.2k
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Need help on how to compute the fundamental group of a space.

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#algebraic-topology #fundamental-groups
56
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Hausdorff Space vs Van Kampen Theorem

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#algebraic-topology #geometric-topology #fundamental-groups
1.5k
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Attaching a disk $D^2$ along the boundary circle to a circle $S^1.$

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#general-topology #algebraic-topology #fundamental-groups #knot-theory #pushforward
481
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Using Hopf fibration to calculate $\pi_{3} (S^2)$

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#algebraic-topology #proof-writing #fundamental-groups #fibration #hopf-fibration
140
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Calculating $\pi_{1}(X).$

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#algebraic-topology #fundamental-groups
77
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Basic question about topology of $2$-dimensional manifolds

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#general-topology #smooth-manifolds #surfaces #geometric-topology #fundamental-groups
152
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Why the projective plane is sometimes drawn like this?

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#general-topology #algebraic-topology #projective-space #fundamental-groups
41
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Proof verification: computing $\pi_1(X)$ using van Kampen

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#proof-verification #algebraic-topology #fundamental-groups
273
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What means act via deck transformations?

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#algebraic-topology #group-actions #covering-spaces #fundamental-groups

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