Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T12:40:51.247Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE TOPOLOGY OF FIBRATIONS WITH SECTION AND FREE LOOP SPACES

Published online by Cambridge University Press:  23 August 2001

SADOK KALLEL  and
DENIS SJERVE
SADOK KALLEL
Affiliation:
Laboratoire AGAT, Université Lille I, 59655 Villeneuve d'Asq Cedex, France, [email protected]
DENIS SJERVE
Affiliation:
Department of Mathematics, #121-1884 Mathematics Road, University of British Columbia, Vancouver V6T 1Z2, Canada, [email protected]
Get access

Abstract

We relate the brace products of a fibration with section to the differentials in its Serre spectral sequence. In the particular case of free loop fibrations, we establish a link between these differentials and Browder operations in the fiber. Applications and several calculations (for the particular cases of spheres and wedges of spheres) are given.

2000 Mathematical Subject Classification: 55P35, 55Q15, 55R05, 55R20.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 83 , Issue 2 , September 2001 , pp. 419 - 442
Copyright
2001 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)