Uniqueness of BP<n>
classification
🧮 math.AT
keywords
algebracohomologyconditionequivalentfinitenesshomotopyintegermild
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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<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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