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15
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Vector field on n-manifold whose sum of indexes is equal to Euler charasteristic

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#algebraic-topology #differential-topology #homotopy-theory
284
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Inversion of Sphere

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#differential-topology #homotopy-theory #obstruction-theory
543
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Every continuous function $\mathbb{R}^n\rightarrow X$ is null-homotopic

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#homotopy-theory
233
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The identification $G=\Omega^\infty \Sigma^\infty S_0$ of the stable group of self homotopy equivalences of spheres with the suspension spectrum

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#algebraic-topology #homotopy-theory #surgery-theory #spectra
192
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Hopf map visualization (animation request)

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#general-topology #homotopy-theory #visualization #hopf-fibration
649
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Equivalent definitions for simple connectivity

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#general-topology #homotopy-theory #connectedness #fundamental-groups #path-connected
225
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Fundamental group of a topological group

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#general-topology #homotopy-theory #topological-groups #fundamental-groups
138
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Is every map between connected CW-complexes homotopic to a map sending $x$ to $y$?

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#homotopy-theory #cw-complexes
220
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Infinite sequence of distinct spaces, all with same homology

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#algebraic-topology #homotopy-theory
552
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Proving that a map is Null Homotopic

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#algebraic-topology #homotopy-theory
149
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Topology on $\mathcal{C}(X,Y)$ to work with homotopy.

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#general-topology #algebraic-topology #soft-question #homotopy-theory
64
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Proving that Emb($D^m,N$) is homotopy equivalent to $V_m(TN)$

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#algebraic-topology #homotopy-theory #h-principle
298
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A modern approach to homotopy theory in $\mathbf{SSet}$

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#reference-request #algebraic-topology #homotopy-theory #simplicial-stuff
228
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What is special about retraction mapping?

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#homotopy-theory #retraction
123
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Proving that a map is a weak homotopy equivalence

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#algebraic-topology #homotopy-theory

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