On the Topology of Fibrations with Section and Free Loop Spaces | Zendy

Kallel Sadok | Zendy; Sjerve Denis | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research