Abstract
We construct the Bousfield-Kan (unstable Adams) spectral sequence based on certain nonconnective periodic homology theories E such as complex periodic K -theory, and define an E -completion of a space X . For X = S 2 n +1 and E = K we calculate the E 2 -term and show that the spectral sequence converges to the homotopy groups of the K -completion of the sphere. This also determines all of the homotopy groups of the (unstable) K -theory localization of S 2 n +1 including three divisible groups in negative stems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
