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15
162
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Evaluating a symplectic form on $\pi_2$ or its image through the Hurewicz map

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#homology-cohomology #homotopy-theory #symplectic-geometry #higher-homotopy-groups
83
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Question about loops(closed paths) in $\mathbb{S}^{1}$

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#general-topology #circles #homotopy-theory #parametrization
165
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Taking homotopy fixed points preserves fibrations

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#homotopy-theory #fibration #equivariant-maps #equivariant-topology
442
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Intuition behind the injectivity part of Hurewicz Theorem

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#algebraic-topology #soft-question #homology-cohomology #homotopy-theory #cw-complexes
117
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Is there an operad whose algebras are homotopy commutative $E_1$-algebras?

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#algebraic-topology #homotopy-theory #operads
278
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Compact space homotopy equivalent to a CW complex

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#compactness #homotopy-theory #cw-complexes
38
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Construct homotopy using illustration

Published on
#homotopy-theory
473
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What is the shape group?

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#algebraic-topology #category-theory #homotopy-theory
225
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Do homotopy pullbacks always compose?

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#category-theory #homotopy-theory #model-categories
615
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$k^{th}$ homology of $n$-torus via Mayer–Vietoris sequence

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#algebraic-topology #homotopy-theory
1.1k
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Milnor's proof that a smooth manifold has the homotopy type of a CW complex

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#algebraic-topology #differential-topology #homotopy-theory #cw-complexes #morse-theory
133
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Higher homotopy group and fundamental group

Published on
#homotopy-theory
202
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Possible error in proof of PL-approximation (Hatcher)

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#algebraic-topology #homotopy-theory #cw-complexes
95
Views

Does there exist a homotopy between identity function and any continuous function?

Published on
#continuity #homotopy-theory #fixed-point-theorems
80
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Map of H-spaces inducing zero on homologies

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#algebraic-topology #homology-cohomology #homotopy-theory

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