Klippenstein, John (1985) Applications of the universal coefficient theorem for connective K-theory. PhD thesis, University of Warwick.

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Abstract

In this thesis we compute the BP<1> cohomology of BP<n>. This is done by contrasting the two different associated gradeds for BP<l>*BP<n> provided by the Adams spectral sequence and the universal coefficient spectral sequence to prove that both spectral sequences collapse to their E2 terms. The same technique is used to provide a splitting of BP<l>ABP<n> and to prove a proposition crucial to the proof that holim k P -kABP<2> splits as a product of suspensions of BP<l>'s. The results for BP<1>*BP<2> are used to construct generalized Brown-Gitler spectra over BP<2>.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Library of Congress Subject Headings (LCSH):	K-theory, Cohomology operations, Adams spectral sequences, Spectral sequences (Mathematics)
Official Date:	July 1985
Dates:	Date Event July 1985 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Jones, John
Sponsors:	Natural Sciences and Engineering Research Council Canada
Extent:	72 leaves
Language:	eng

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