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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]
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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

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