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On the Topology of Fibrations with Section and Free Loop Spaces
Author(s) -
Kallel Sadok,
Sjerve Denis
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/83.2.419
Subject(s) - fibration , section (typography) , mathematics , spheres , loop (graph theory) , fiber bundle , topology (electrical circuits) , fiber , brace , pure mathematics , combinatorics , homotopy , computer science , structural engineering , physics , composite material , engineering , materials science , astronomy , operating system
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.