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15
357
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Is a formula for the *number* of Lyndon words of a fixed length over a given number of generators known?

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#combinatorics #homotopy-theory #spheres #higher-homotopy-groups #lyndon-words
301
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Homeomorphism between a mapping space and a product space

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#general-topology #algebraic-topology #homotopy-theory
822
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All finite path connected CW complexes are homotopy equivalent to a CW complex with only one 0-cell.

Published on
#algebraic-topology #homotopy-theory #cw-complexes #homotopy-extension-property
372
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Restriction of cellular Homotopy equivalence

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#algebraic-topology #homotopy-theory #cw-complexes
480
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Chain maps between projective complexes are nullhomotopic

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#homological-algebra #homotopy-theory #projective-module #free-modules
88
Views

How does one define constant functor of simplicial sets?

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#homotopy-theory #simplicial-stuff #functors #higher-category-theory
220
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Van Kampen's theorem question in Hatcher

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#algebraic-topology #homotopy-theory
312
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Many definitions of Hochschild homology and cyclic homology

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#algebraic-topology #homotopy-theory #big-list #noncommutative-geometry #hochschild-cohomology
66
Views

Cohomology via simplicial homotopy theory and its relation to completion

Published on
#reference-request #algebraic-topology #homotopy-theory #simplicial-stuff
159
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Homotopic Attaching Maps & Homotopy Extension Property

Published on
#algebraic-topology #homotopy-theory
354
Views

Homotopic and Smoothly Homotopic Manifolds

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#differential-geometry #manifolds #smooth-manifolds #homotopy-theory
341
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Why is the de Rham space named after de Rham?

Published on
#differential-geometry #algebraic-geometry #manifolds #homotopy-theory #schemes
142
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Pullback of homotopy on differential forms?

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#homotopy-theory #differential-forms #pullback
97
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show that the map $f: \mathbb{R}P^2 \vee\mathbb{R}P^2 \rightarrow S^1$ is nullhomotopic.

Published on
#algebraic-topology #homotopy-theory #covering-spaces #projective-space
269
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Use Whitehead 's theorem to show that a $S^{\infty}$ is contractible.

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#algebraic-topology #proof-writing #definition #homotopy-theory

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