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

10 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

Access to Document

10.1007/s40062-015-0120-0

Cite this

@article{8f788f883e4541408e08b9c124a3f7ae,

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",

author = "Vigleik Angeltveit and Lind, \{John A.\}",

note = "Publisher Copyright: {\textcopyright} 2015, Tbilisi Centre for Mathematical Sciences.",

year = "2017",

month = mar,

day = "1",

doi = "10.1007/s40062-015-0120-0",

language = "English",

volume = "12",

pages = "17--30",

journal = "Journal of Homotopy and Related Structures",

issn = "2193-8407",

publisher = "Springer Science+Business Media B.V.",

number = "1",

}

TY - JOUR

T1 - Uniqueness of BP⟨ n⟩

AU - Angeltveit, Vigleik

AU - Lind, John A.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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⟩.

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⟩.

KW - Adams spectral sequence

KW - Brown–Peterson spectrum

KW - Complex cobordism

UR - https://www.scopus.com/pages/publications/85013635245

U2 - 10.1007/s40062-015-0120-0

DO - 10.1007/s40062-015-0120-0

M3 - Article

SN - 2193-8407

VL - 12

SP - 17

EP - 30

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

IS - 1

ER -

Uniqueness of BP⟨ n⟩

Abstract

Access to Document

Other files and links

Fingerprint

Cite this