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2005 $I$–adic towers in topology
Samuel Wüthrich
Algebr. Geom. Topol. 5(4): 1589-1635 (2005). DOI: 10.2140/agt.2005.5.1589

Abstract

A large variety of cohomology theories is derived from complex cobordism MU() by localizing with respect to certain elements or by killing regular sequences in MU. We study the relationship between certain pairs of such theories which differ by a regular sequence, by constructing topological analogues of algebraic I–adic towers. These give rise to Higher Bockstein spectral sequences, which turn out to be Adams spectral sequences in an appropriate sense. Particular attention is paid to the case of completed Johnson–Wilson theory Ê(n) and Morava K–theory K(n) for a given prime p.

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Samuel Wüthrich. "$I$–adic towers in topology." Algebr. Geom. Topol. 5 (4) 1589 - 1635, 2005. https://doi.org/10.2140/agt.2005.5.1589

Information

Received: 15 June 2005; Revised: 9 November 2005; Accepted: 15 November 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1107.55007
MathSciNet: MR2186112
Digital Object Identifier: 10.2140/agt.2005.5.1589

Subjects:
Primary: 55P42, 55P43, 55T15
Secondary: 55N22, 55P60, 55U20

Rights: Copyright © 2005 Mathematical Sciences Publishers

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