Uniqueness of BP⟨ n⟩

Vigleik Angeltveit; John A. Lind

doi:10.1007/s40062-015-0120-0

Uniqueness of BP⟨ n⟩

Vigleik Angeltveit^*, John A. Lind

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Fix a prime number p and an integer n≥ 0. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP⟨ n⟩ as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP⟨ n⟩.

Original language	English
Pages (from-to)	17-30
Number of pages	14
Journal	Journal of Homotopy and Related Structures
Volume	12
Issue number	1
DOIs	https://doi.org/10.1007/s40062-015-0120-0
Publication status	Published - 1 Mar 2017

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title = "Uniqueness of BP⟨ n⟩",

abstract = "Fix a prime number p and an integer n≥ 0. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP⟨ n⟩ as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP⟨ n⟩.",

keywords = "Adams spectral sequence, Brown–Peterson spectrum, Complex cobordism",

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AB - Fix a prime number p and an integer n≥ 0. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP⟨ n⟩ as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP⟨ n⟩.

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KW - Brown–Peterson spectrum

KW - Complex cobordism

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JO - Journal of Homotopy and Related Structures

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Uniqueness of BP⟨ n⟩

Abstract

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