List questions from stable-homotopy-theory

Published on 18 Mar 2026 - 16:05

282

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Spectra and cohomology theories

Published on 19 Mar 2026 - 8:01

424

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Are there non-contractible space such that suspension $\sigma\colon \pi_k(X) \to \pi_{k+1}(\Sigma X)$ is an isomorphism for all $k$?

Published on 19 Mar 2026 - 9:57

433

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Spectra and long exact sequences

Published on 19 Mar 2026 - 5:29

182

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Is the complex cobordism spectrum, $MU$, a finite spectrum?

Published on 17 Mar 2026 - 23:21

259

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Mod p cohomology operations and homotopy groups of spheres

Published on 19 Mar 2026 - 14:36

137

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Tate construction of the Anderson dual of the sphere spectrum

Published on 25 Mar 2026 - 4:43

434

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Connections between Algebraic Topology and Set Theory

Published on 18 Mar 2026 - 16:08

200

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Detecting $\eta^3$ in stunted projective spaces.

Published on 19 Mar 2026 - 13:54

79

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Factorization of the orientation map $MU\to H\mathbb{Z}$ through $ku$?

Published on 30 Apr 2019 - 15:39

156

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Reference for the cohomology of SU

Published on 19 Mar 2026 - 7:58

106

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Filtered colimits in Adams' category

Published on 19 Mar 2026 - 0:24

59

Views

Commutativity of monoid object on $\mathcal{D}$-spaces

Published on 18 Mar 2026 - 18:38

77

Views

Does an $X$ exist so $X \simeq \Omega^n Y$ for all $n$, and X is not an infinite loop space?

Published on 18 Mar 2026 - 23:47

43

Views

Values of the $\mathbb{Z}/2$-spectrum $KR$ of $K$-theory with Reality

Published on 25 Mar 2026 - 1:18

List Question

Book on stable homotopy theory?

Spectra and cohomology theories

Are there non-contractible space such that suspension $\sigma\colon \pi_k(X) \to \pi_{k+1}(\Sigma X)$ is an isomorphism for all $k$?

Spectra and long exact sequences

Is the complex cobordism spectrum, $MU$, a finite spectrum?

Mod p cohomology operations and homotopy groups of spheres

Tate construction of the Anderson dual of the sphere spectrum

Connections between Algebraic Topology and Set Theory

Detecting $\eta^3$ in stunted projective spaces.

Factorization of the orientation map $MU\to H\mathbb{Z}$ through $ku$?

Reference for the cohomology of SU

Filtered colimits in Adams' category

Commutativity of monoid object on $\mathcal{D}$-spaces

Does an $X$ exist so $X \simeq \Omega^n Y$ for all $n$, and X is not an infinite loop space?

Values of the $\mathbb{Z}/2$-spectrum $KR$ of $K$-theory with Reality

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