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ON THE TOPOLOGY OF FIBRATIONS WITH SECTION AND FREE LOOP SPACES.

Authors :
KALLEL, SADOK
SJERVE, DENIS
Source :
Proceedings of the London Mathematical Society; 09/01/2001, Vol. 83 Issue 2, p419-442, 24p
Publication Year :
2001

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00246115
Volume :
83
Issue :
2
Database :
Complementary Index
Journal :
Proceedings of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
57060059
Full Text :
https://doi.org/10.1112/plms/83.2.419