List questions from stable-homotopy-theory

Published on 27 Mar 2026 - 6:10

285

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Spectra and cohomology theories

Published on 10 Apr 2026 - 20:09

426

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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 29 Apr 2026 - 12:55

437

Views

Spectra and long exact sequences

Published on 29 Apr 2026 - 12:54

189

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

Published on 29 Apr 2026 - 12:54

261

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Mod p cohomology operations and homotopy groups of spheres

Published on 29 Apr 2026 - 12:55

138

Views

Tate construction of the Anderson dual of the sphere spectrum

Published on 29 Apr 2026 - 12:55

436

Views

Connections between Algebraic Topology and Set Theory

Published on 29 Apr 2026 - 12:55

202

Views

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

Published on 29 Apr 2026 - 12:55

81

Views

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

Published on 29 Apr 2026 - 12:54

159

Views

Reference for the cohomology of SU

Published on 10 Apr 2026 - 23:29

108

Views

Filtered colimits in Adams' category

Published on 27 Mar 2026 - 7:25

61

Views

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

Published on 29 Apr 2026 - 12:54

80

Views

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

Published on 29 Apr 2026 - 12:55

45

Views

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

Published on 29 Apr 2026 - 12:55

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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