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15
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Direct proof of non-commuting loops of figure-eight?

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#homotopy-theory #fundamental-groups
76
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Interesting classes of incomplete hyperbolic manifolds with torsion?

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#hyperbolic-geometry #fundamental-groups
143
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Fundamental group of quotient of subspace of $\mathbb{R}^3\times\mathbb{R}^3$

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#general-topology #algebraic-topology #fundamental-groups
1k
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Visualizing that fundamental group is not abelian in general

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#algebraic-topology #homotopy-theory #fundamental-groups
223
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Showing or refuting that topologist's sine curve is simply connected.

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#algebraic-topology #fundamental-groups
216
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Why the fundamental group of the circle is not trivial?

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#algebraic-topology #fundamental-groups
120
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$\pi_1(M) = \pi_1(M \setminus N)$ where $N \subset M$ is of codimension $\geq 3$.

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#reference-request #algebraic-topology #solution-verification #smooth-manifolds #fundamental-groups
50
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Showing that fundamental group of the rational is trivial.

Published on
#fundamental-groups
208
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Fundamental Group Notation

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#algebraic-topology #notation #fundamental-groups
42
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Classification of regular connected covering spaces.

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#group-theory #homotopy-theory #fundamental-groups
395
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Is the fundamental group of the Projective Line of order 2?

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#projective-geometry #fundamental-groups #linear-groups
627
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Is it true that all homotopy groups of a manifold are countable?

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#reference-request #algebraic-topology #homotopy-theory #fundamental-groups
672
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Can we deform retract a torus to a circle?

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#algebraic-topology #fundamental-groups #retraction
62
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Abelian fundamental group: working algebraically

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#general-topology #algebraic-topology #fundamental-groups
417
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Fundamental group of complement in $\mathbb{R}^3$ of $z$-axis and two circles

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#algebraic-topology #fundamental-groups

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