Geometry & Topology, Vol. 3 (1999) Paper no. 7, pages 155--165.

Vanishing lines in generalized Adams spectral sequences are generic

MJ Hopkins, JH Palmieri, JH Smith

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

AMS subject classification. Primary: 55T15. Secondary: 55P42.

DOI: 10.2140/gt.1999.3.155

E-print: arXiv:math.AT/9907198

Submitted to GT on 17 March 1998. (Revised 27 May 1999.) Paper accepted 30 June 1999. Paper published 2 July 1999.

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MJ Hopkins, JH Palmieri, JH Smith
Department of Mathematics, Massachusetts Institute of Technology
Cambridge, MA 02139, USA
Department of Mathematics, University of Notre Dame
Notre Dame, IN 46556, USA
Department of Mathematics, Purdue University
West Lafayette, IN 47907, USA

Email: mjh@math.mit.edu, palmieri@member.ams.org, jhs@math.purdue.edu

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