Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

The spectrum $(P\wedge \textrm {BP}\langle 2\rangle )_ {-\infty }$


Authors: Donald M. Davis, David C. Johnson, John Klippenstein, Mark Mahowald and Steven Wegmann
Journal: Trans. Amer. Math. Soc. 296 (1986), 95-110
MSC: Primary 55P42; Secondary 55N22, 55T15
DOI: https://doi.org/10.1090/S0002-9947-1986-0837800-7
MathSciNet review: 837800
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The spectrum ${(P \wedge {\text {BP}}\langle {\text {2}}\rangle )_{ - \infty }}$ is defined to be the homotopy inverse limit of spectra ${P_{ - k}} \wedge {\text {BP}}\langle {\text {2}}\rangle$, where ${P_{ - k}}$ is closely related to stunted real projective spaces, and ${\text {BP}}\langle {\text {2}}\rangle$ is formed from the Brown-Peterson spectrum. It is proved that this spectrum is equivalent to the infinite product of odd suspensions of the $2$-adic completion of the spectrum of connective $K$-theory. An odd-primary analogue is also proved.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55P42, 55N22, 55T15

Retrieve articles in all journals with MSC: 55P42, 55N22, 55T15


Additional Information

Keywords: Brown-Peterson spectrum, homotopy inverse limits, projective spaces, Adams spectral sequence
Article copyright: © Copyright 1986 American Mathematical Society