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15
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What are two different homotopy classes of loops at one base point?

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#algebraic-topology
44
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Proving $Cov_B \simeq O(\pi_1(B,b))$ as categories.

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#algebraic-topology #category-theory #covering-spaces
1.6k
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A proof of: $S^n$ is simply connected when $n \geq 2$

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#algebraic-topology #covering-spaces
301
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Do Homotopy limits commute with right Quillen functors

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#algebraic-topology #category-theory #homotopy-theory #simplicial-stuff #model-categories
109
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Parsing the Bockstein morphism

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#algebraic-topology #abelian-groups #exact-sequence
256
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Finding chains with a given boundary

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#algebraic-topology #homology-cohomology #simplicial-complex
87
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Why there always exists a fuchsian model $R$ satisfies the normalization condition?

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#general-topology #group-theory #algebraic-topology #riemann-surfaces #hyperbolic-geometry
904
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Show that the fundamental group of wedge of two circles is non Abelian without actually computing it.

Published on
#algebraic-topology #homotopy-theory #fundamental-groups
129
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Number of free homotopy classes < number of homotopy group elements

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#algebraic-topology #homotopy-theory
250
Views

General Chern number question.

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#algebraic-topology
59
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Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

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#abstract-algebra #group-theory #algebraic-topology #lie-groups #lie-algebras
66
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Alternating Link crossings.

Published on
#algebraic-topology #knot-theory
43
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Is there a time where the link of a subset is not equal to the boundary of its star?

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#general-topology #algebraic-topology #simplicial-complex
36
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Show if $f:\Delta^n\rightarrow X$ is continuous then $f$ is constant

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#algebraic-topology
123
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Prove that a convex set in $\mathbb{R}^n$ has no homology in positive degrees.

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#algebraic-topology

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