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15
322
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Proof of Homotopy Lemma in Milnor's Book

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#general-topology #differential-geometry #proof-verification #differential-topology #homotopy-theory
200
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Continuously deformation (homotopy) of continuous function into an arbitrary close $C^{\infty}$-function

Published on
#complex-analysis #homotopy-theory #distribution-theory
94
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Realizing $G/H$ as a principal $G$-bundle over $BH$

Published on
#algebraic-topology #homotopy-theory #topological-groups
120
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Connected Unitaries in $K_{1}(C(\mathbb{T}^{3}))$

Published on
#homotopy-theory #operator-algebras #c-star-algebras #k-theory
514
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Question concerning the notation of path multiplication

Published on
#algebraic-topology #homotopy-theory
79
Views

Homotopy, unit sphere

Published on
#homotopy-theory #spheres
93
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Can a genus $g$ surface be turned inside out?

Published on
#homotopy-theory #surfaces #h-principle
44
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Contractible, homotopieclasses

Published on
#homotopy-theory
474
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Do trivial homotopy groups imply existence of boundary preserving homotopies?

Published on
#algebraic-topology #differential-topology #homotopy-theory #manifolds-with-boundary #higher-homotopy-groups
403
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How to show reflection of $\mathbb{S}^n$ and the identity are not homotopic?

Published on
#manifolds #homotopy-theory #manifolds-with-boundary #compact-manifolds
3.7k
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Contractible Spaces and Homotopic Maps

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#general-topology #algebraic-topology #continuity #homotopy-theory
368
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Fundamental Group Calculation in $\mathbb{R}^3$

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups
3k
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interpreting a long exact sequence of homotopy groups

Published on
#algebraic-topology #homotopy-theory #fundamental-groups #exact-sequence #fibration
78
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Homotopy type of an $n$-simplex with a $k$-face removed

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#algebraic-topology #homotopy-theory #simplicial-complex
23
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Increasing the set of marked points for a relative homotopy

Published on
#homotopy-theory #surfaces

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