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15
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Klein bottle, description of isomorphism between cellular/simplicial homology, abelianization map from $\pi_1$ to $H_1$?

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#algebraic-topology #homology-cohomology #fundamental-groups
110
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Algebraic complexity of complex residues and monodromy representations

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#complex-analysis #number-theory #algebraic-topology #representation-theory #fundamental-groups
112
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What is $\pi_i(S^n)$ for $i>n$?

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#algebraic-topology #homotopy-theory #fundamental-groups
570
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Van Kampen Theorem

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#algebraic-topology #fundamental-groups
2.1k
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Hatcher Question 1.2.10 - Show that the loop $\gamma$ is nullhomotopic

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#algebraic-topology #fundamental-groups
95
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Fundamental group and extension

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#algebraic-topology #fundamental-groups
78
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A few questions on $S^3 \times \mathbb{R}P^2$ and $\mathbb{R}P^3 \times S^2$.

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#algebraic-topology #manifolds #homology-cohomology #fundamental-groups
235
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Projective space, explicit descriptions of isomorphism between homology.

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#general-topology #algebraic-topology #homology-cohomology #fundamental-groups
1.5k
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Homotopy equivalent spaces have isomorphic fundamental groups - is path-connectedness necessary?

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#algebraic-topology #homotopy-theory #fundamental-groups #path-connected
358
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Why is the fundamental group of a triangle in a circle the free group on four generators?

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#abstract-algebra #general-topology #algebraic-topology #fundamental-groups #free-groups
168
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Fundamental group of the crown with quotient?

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#algebraic-topology #fundamental-groups
208
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Fundamental group of $Spin^c(V)$

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#lie-groups #lie-algebras #fundamental-groups #clifford-algebras
508
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Fundamental Group of a Quotient of an Annulus

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#algebraic-topology #homotopy-theory #fundamental-groups
830
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Tangent bundle and manifold are homotopy equivalent

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#differential-geometry #homotopy-theory #fundamental-groups
356
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Use a covering map to find the fundamental group

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

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