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Is the complement of a set with vanishing $(d-2)-$dimensional Hausdorff measure simply connected?

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#reference-request #differential-topology #fundamental-groups #geometric-measure-theory
72
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How to compute $\pi_1(B)$?

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#algebraic-topology #fundamental-groups
94
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Is $f_1: \pi_1(X \vee X) \rightarrow \pi_1(X)$ a surjection?

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#algebraic-topology #homotopy-theory #fundamental-groups
27
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Question regarding proof that multiplication of equivalence classes of paths is associative.

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#general-topology #algebraic-topology #continuity #fundamental-groups
469
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Fundamental group of the torus minus a disk

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#algebraic-topology #solution-verification #fundamental-groups
76
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fundamental group of quotient (singular) tori

Published on
#quotient-spaces #fundamental-groups #singularity
131
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Proving Brouwer's fixed point theorem using fundamental groups

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#homotopy-theory #fixed-point-theorems #fundamental-groups #spheres #fixed-points
62
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Cohomological dimension of fundamental groups aspherical manifolds [reference request]

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#reference-request #manifolds #fundamental-groups #group-cohomology
242
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Fundamental group of quotient space under a continuous group action

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#general-topology #algebraic-topology #group-actions #covering-spaces #fundamental-groups
42
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Find the covering space corresponding to the subgroup $\langle a,b^2,bab^{-1}\rangle$

Published on
#covering-spaces #fundamental-groups
269
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the kernel of the covering map is isomorphic to the covering transformation group of topological group

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#algebraic-topology #topological-groups #fundamental-groups
820
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Show that the change-of-basepoint homomorphism $\beta_h$ depends only on the homotopy class of $h$.

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#general-topology #homotopy-theory #fundamental-groups
301
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Possible Fundamental Group(s) of the disc minus two points

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#algebraic-topology #fundamental-groups
139
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Global class field theory through the étale fundamental group

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#galois-theory #fundamental-groups #class-field-theory
192
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Showing that a 4-manifold obtained by attaching a 2-handle is simply-connected

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#algebraic-topology #manifolds #fundamental-groups #surgery-theory #4-manifolds

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