Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371053
Title: Applications of the universal coefficient theorem for connective k-theory
Author: Klippenstein, John
ISNI:       0000 0001 3600 8299
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1985
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Abstract:
In this thesis we compute the BP<1> cohomology of BP. This is done by contrasting the two different associated gradeds for BP*BP 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 BPABP and to prove a proposition crucial to the proof that holim k P -kABP<2> splits as a product of suspensions of BP's. The results for BP<1>*BP<2> are used to construct generalized Brown-Gitler spectra over BP<2>.
Supervisor: Not available Sponsor: Natural Sciences and Engineering Research Council Canada
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.371053  DOI: Not available
Keywords: QA Mathematics ; QC Physics
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