The Chromatic Ext Groups Ext0Γ(m+1) (BP, M12)

We compute a certain Ext group related to the chromatic spectral sequence for T(m), the spectrum whose BP-homology is BP*[t1, ..., tm] for each m ≥ 3. The answer we get displays a kind of periodicity not seen in the corresponding computation for the sphere spectrum.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2002-09, Vol.354 (9), p.3789-3813
Main Authors: Ichigi, Ippei, Nakai, Hirofumi, Ravenel, Douglas C.
Format: Article
Language:English
Subjects:
Algebraic topology
College mathematics
Exact sciences and technology
Homotopy theory
Integers
Mathematical congruence
Mathematical sequences
Mathematics
Sciences and techniques of general use
Topology
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:We compute a certain Ext group related to the chromatic spectral sequence for T(m), the spectrum whose BP-homology is BP*[t1, ..., tm] for each m ≥ 3. The answer we get displays a kind of periodicity not seen in the corresponding computation for the sphere spectrum.
ISSN:0002-9947
1088-6850