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The fundamental group of complex plane with $n$ secants

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#algebraic-topology #fundamental-groups
145
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Does circle with the chord is homotopy equivalent to "eight"?

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#algebraic-topology #fundamental-groups
102
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Intersection of Cylinders of Simply Connected Sets in $\mathbb C^2$?

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#algebraic-topology #fundamental-groups
1k
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Show that the fundamental group of the Klein bottle is isomorphic to a given group

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#general-topology #group-theory #algebraic-topology #group-isomorphism #fundamental-groups
739
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Show that for each integer $n ≥ 2$, $F_n$ is a finite index subgroup of $F_2$, where $F_n$ is the free group on $n$ generators.

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#general-topology #group-theory #algebraic-topology #fundamental-groups #free-groups
78
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$2:1$ coverings of $S^1 \vee S^1 \vee S^1$

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#algebraic-topology #covering-spaces #fundamental-groups
803
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Fundamental group of a genus-$2$ surface using van Kampen

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#algebraic-topology #fundamental-groups
844
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Are all covering maps of spaces with the same fundamental group homeomorphisms?

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#general-topology #geometry #algebraic-topology #fundamental-groups
47
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Dependance of the étale fundamental group of a scheme with the base geometric point

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#abstract-algebra #algebraic-geometry #schemes #fundamental-groups
1.7k
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Fundamental groups of the Klein bottle and torus

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#algebraic-topology #fundamental-groups #group-presentation #klein-bottle
128
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Homotopy Type of Embeddings of Circles in a 3-manifold

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#algebraic-topology #homotopy-theory #fundamental-groups #low-dimensional-topology
556
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Covering of torus by Klein bottle?

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#algebraic-topology #covering-spaces #fundamental-groups
1.5k
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Covering of Klein Bottle by Torus

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#algebraic-topology #covering-spaces #fundamental-groups
37
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Finding all covering spaces of the orbit space $Z$ of an action $\Bbb Z_2 \times S^m \times S^n \to S^m \times S^n$

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#general-topology #algebraic-topology #covering-spaces #fundamental-groups #path-connected
115
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Definition of Simple Connectedness

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#group-theory #algebraic-topology #definition #fundamental-groups

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