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15
260
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Can we see that the Hopf map is essential without using Hurewicz?

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#algebraic-topology #homotopy-theory #math-history #fiber-bundles #hopf-fibration
198
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Wedge product of Eilenberg-MacLane spaces.

Published on
#homotopy-theory #eilenberg-maclane-spaces
122
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Homotopy type of union of two simplicial complexes.

Published on
#algebraic-topology #homotopy-theory
212
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$G$-spaces vs spaces with a $G$-action

Published on
#soft-question #homotopy-theory #stable-homotopy-theory #equivariant-cohomology
46
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understanding a statement in the proof of a retract of a contractible space is contractible.

Published on
#general-topology #algebraic-topology #proof-explanation #homotopy-theory #retraction
462
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Restriction of a homotopy equivalence

Published on
#algebraic-topology #homotopy-theory
69
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Homotopy fiber of the second Stiefel-Whitney class

Published on
#homotopy-theory #characteristic-classes #classifying-spaces
714
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Configuration space of a circle

Published on
#algebraic-topology #homotopy-theory #configuration-space
66
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Lifting of homotopy

Published on
#general-topology #algebraic-topology #homotopy-theory #fundamental-groups
132
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The homotopy type of $\mathrm{Maps}\left[X,Y\right]$ depends only on the homotopy types of $X,Y$

Published on
#general-topology #algebraic-topology #homotopy-theory #function-spaces
117
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Definition of the filtered normalized chain complex $N_0A$

Published on
#homotopy-theory #simplicial-stuff
55
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Example of objects and morphisms in h-TOP

Published on
#algebraic-topology #category-theory #examples-counterexamples #homotopy-theory
438
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Smoothly homotopic is an equivalence relation

Published on
#real-analysis #differential-geometry #differential-topology #homotopy-theory
840
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Homotopy groups of quotient groups.

Published on
#group-theory #algebraic-topology #homotopy-theory #exact-sequence #higher-homotopy-groups
195
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Connected components of free loop space

Published on
#algebraic-topology #manifolds #homotopy-theory #fundamental-groups #loop-spaces

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