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ON THE TOPOLOGY OF FIBRATIONS WITH SECTION AND FREE LOOP SPACES
Published online by Cambridge University Press: 23 August 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.
- 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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