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Vanishing lines in generalized Adams spectral sequences are generic

M J Hopkins, J H Palmieri and J H Smith

Geometry & Topology 3 (1999) 155–165

arXiv: math.AT/9907198

Abstract

We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic property.

Keywords
Adams spectral sequence, vanishing line, generic
Mathematical Subject Classification
Primary: 55T15
Secondary: 55P42
References
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Publication
Received: 17 March 1998
Revised: 27 May 1999
Accepted: 30 June 1999
Published: 2 July 1999
Proposed: Haynes Miller
Seconded: Ralph Cohen, Gunnar Carlsson
Authors
M J Hopkins
Department of Mathematics
Massachusetts Institute of Technology
Cambridge
Massachusetts 02139
USA
J H Palmieri
Department of Mathematics
University of Notre Dame
Notre Dame
Indiana 46556
USA
J H Smith
Department of Mathematics
Purdue University
West Lafayette
Indiana 47907
USA