Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 5, Number 4 (2005), 1589-1635.
$I$–adic towers in topology
A large variety of cohomology theories is derived from complex cobordism by localizing with respect to certain elements or by killing regular sequences in . We study the relationship between certain pairs of such theories which differ by a regular sequence, by constructing topological analogues of algebraic –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 and Morava –theory for a given prime .
Algebr. Geom. Topol., Volume 5, Number 4 (2005), 1589-1635.
Received: 15 June 2005
Revised: 9 November 2005
Accepted: 15 November 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55P42: Stable homotopy theory, spectra 55P43: Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.) 55T15: Adams spectral sequences
Secondary: 55U20: Universal coefficient theorems, Bockstein operator 55P60: Localization and completion 55N22: Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90]
Wüthrich, Samuel. $I$–adic towers in topology. Algebr. Geom. Topol. 5 (2005), no. 4, 1589--1635. doi:10.2140/agt.2005.5.1589. https://projecteuclid.org/euclid.agt/1513796492