Uniqueness of BP

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

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Bibliographic Details
Main Authors:	Angeltveit, Vigleik, Lind, John A
Format:	Journal Article
Language:	English
Published:	07-01-2015
Subjects:	Mathematics - Algebraic Topology
Online Access:	Get full text
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Summary:	Fix a prime number p and a non-negative integer n. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP.
DOI:	10.48550/arxiv.1501.01448