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15
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Homotopy groups of real Grassmanians

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#algebraic-topology #homotopy-theory #fundamental-groups #grassmannian
317
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Are the path connectedness of $X_0$ and $X_1$ necessary in Seifert-van Kampen theorem?

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#algebraic-topology #fundamental-groups #path-connected
166
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Is my calculation of the Fundamental group of the real projective plane correct?

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#algebraic-topology #solution-verification #fundamental-groups
99
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What is the minimal length of a "Diagonal" in a Torus?

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#riemannian-geometry #fundamental-groups #geodesic
84
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How to show that $\mathbb{R}^3$ with two disjoint parallel lines removed has the same homotopy type as $N$.

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups #retraction
187
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Is a connected groupoid uniquely determined by its objects and fundamental group?

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#category-theory #fundamental-groups #groupoids
567
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What are all three 2-fold coverings of the Klein bottle?

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#general-topology #algebraic-topology #covering-spaces #fundamental-groups
45
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A Certain Degree 12 Covering of the Figure-8 Complement

Published on
#covering-spaces #fundamental-groups #knot-theory
58
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Is there a situation where the measurable analog of the fundamental group can be computed and isn't trivial?

Published on
#measure-theory #algebraic-topology #fundamental-groups
267
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Homotopy equivalence of spaces involving spheres and projective space

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#algebraic-topology #homotopy-theory #fundamental-groups
78
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Equivalence class of composition of a loop and a homeomorphism

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#general-topology #algebraic-topology #fundamental-groups
116
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fundamental group of the complement of an effective divisor in a non projective complex manifold

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#algebraic-topology #complex-geometry #fundamental-groups
478
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Group action on topological spaces.

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#group-theory #algebraic-topology #group-actions #group-isomorphism #fundamental-groups
130
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${\pi_1(\mathbb{R}^3 \setminus A)}$ where $A$ is a circle in ${\mathbb{R}^3}$

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#algebraic-topology #fundamental-groups #retraction
93
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Fundamental group of the complement of some quadric cones

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#covering-spaces #fundamental-groups #exact-sequence #fibration #quadrics

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