On the homotopy fibre of the inclusion map F nX → ∏ 1^n X for some orbit spaces XReportar como inadecuado




On the homotopy fibre of the inclusion map F nX → ∏ 1^n X for some orbit spaces X - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 University of Warmia and Mazury Olsztyn 2 IME - Instituto de Matemática e Estatística 3 UNICAEN - Université de Caen Normandie 4 NU - Normandie Université 5 LMNO - Laboratoire de Mathématiques Nicolas Oresme

Abstract : Under certain conditions, we describe the homotopy type of the homo-topy fibre of the inclusion map F nX → ∏ 1^n X for the n-th configuration space F nX of a topological manifold X without boundary such that dimX ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k-G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the inclusion map F nS^k-G → ∏ 1^n S^k-G.





Autor: Marek Golasinski - Daciberg Lima Gonçalves - John Guaschi -

Fuente: https://hal.archives-ouvertes.fr/



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