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Show that g*c and c*g are homotopic, where g is a loop and c a constant loop

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#general-topology #homotopy-theory
147
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Fibrations lift p-connectedness

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#algebraic-topology #homotopy-theory #fibration
88
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equivalence of n-connected spectra

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#homotopy-theory #stable-homotopy-theory
860
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Proof that any 2 paths in a convex set are homotopic

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#homotopy-theory
1.3k
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Homotopy groups of infinite Grassmannians

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#algebraic-topology #homotopy-theory #vector-bundles
131
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Prove that $C_1$ and $C_2$ are homotopic fixing endpoints.

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#general-topology #algebraic-topology #homotopy-theory
86
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Let $S_ 0$ be the space with $2$ points and the discrete topology. Find [$S_ 0$ , $X$] for an arbitrary space $X$.

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#general-topology #algebraic-topology #homotopy-theory
162
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Resemblance between product and homotopy

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#category-theory #homotopy-theory #products
72
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Illustration of homotopies

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#algebraic-topology #homotopy-theory
98
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Strong (trivial) cofibration in Lurie's HTT

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#category-theory #homotopy-theory #higher-category-theory #model-categories
1k
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Homotopic attaching maps give Homotopy Equivalent spaces

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#general-topology #algebraic-topology #homotopy-theory #cw-complexes
160
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Are $C^\infty$ exotic spheres $C^k$ exotic?

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#algebraic-topology #differential-topology #homotopy-theory
172
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Bijection of homotopy classes

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#algebraic-topology #homotopy-theory
693
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Being contractible in homotopy theory vs. homotopy type theory

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#homotopy-theory #equivalence-relations #type-theory #fibration #homotopy-type-theory
137
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Why the dual of some results are true while others are false?

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#algebraic-topology #homotopy-theory #philosophy #duality-theorems

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