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An elementary proof of $\pi_1(S^n) =1$ using this general theorem

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#algebraic-topology #alternative-proof #fundamental-groups
548
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Fundamental group of infinite row of circles

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#algebraic-topology #fundamental-groups
743
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Fundamental group of $M$ has no subgroup of index $2\Rightarrow M$ is orientable

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#differential-geometry #smooth-manifolds #fundamental-groups #orientation
560
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Computation of the fundamental group of the projective plane without Van Kampen theorem.

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#algebraic-topology #fundamental-groups
101
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Modified homotopy in the punctured disc

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#algebraic-topology #homotopy-theory #fundamental-groups
54
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A question about covering spaces.

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#algebraic-topology #covering-spaces #fundamental-groups
1.5k
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Calculating $\mathbb{R}P^1$ fundamental group.

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#algebraic-topology #projective-space #fundamental-groups
442
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Invariant lifts of a closed curve on a surface of genus > 1.

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#algebraic-topology #surfaces #geometric-topology #covering-spaces #fundamental-groups
416
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Fundamental group of the following figure: (half-full sphere with two "quotiented" holes)

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#algebraic-topology #fundamental-groups #retraction
1.3k
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What does it mean if the fundamental group is Abelian?

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#algebraic-topology #fundamental-groups
159
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Proving homology class of a loop to be zero

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#general-topology #algebraic-topology #homology-cohomology #homotopy-theory #fundamental-groups
188
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Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

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#algebraic-topology #continuity #fixed-point-theorems #fundamental-groups #retraction
745
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Can closed unit ball be a retract of unit sphere?

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#algebraic-topology #fundamental-groups #retraction
358
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Basis of the fundamental group of a connected graph

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#algebraic-topology #fundamental-groups
158
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Is the converse of this is true?

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

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