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Questions Tagged with "homotopy theory"

Explore solved questions tagged with "homotopy theory" or help others by answering their unsolved questions related to "homotopy theory".

Non-degenerate simplexes in a Kan complex

2 answer

MathOverflow Asked 2 years ago by Lao-tzu

Can a restriction of a null-homotopic spherical map be null-homopotic?

1 answer

MathOverflow Asked 3 years ago by yaoliding

Is there a (discrete) monoid M injecting into its group completion G for which BM is not homotopy equivalent to BG?

0 answer

MathOverflow Asked 3 years ago by Omar Antolín-Camarena

triviality of homology with local coefficients

1 answer

MathOverflow Asked 3 years ago

Does the homotopy pullback of a diagram of spaces who are homotopy equivalent to CW-complexes have the homotopy type of a CW complex?

0 answer

Mathematics Asked 3 years ago

$pi_2(T vee mathbb{C}P^2)$ and action of $pi_1$ on $pi_2$

1 answer

Mathematics Asked 3 years ago by urbanog

Filtered colim of F-groups

1 answer

MathOverflow Asked 3 years ago by Ofra

Proof of Lemma 5.1.5.3 in Jacob Lurie's HTT.

1 answer

Mathematics Asked 3 years ago by Robin Carlier

Constructing $pi_1$ actions on higher homotopy groups.

2 answer

Mathematics Asked 3 years ago by James Cameron

How can I prove that $mathbb S^n$ is deformation retract to $mathbb S^{n+1}setminus {N,S}$?

1 answer

Mathematics Asked 3 years ago by GreekCorpse

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