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On the homotopy fibre of the inclusion map F-n (X) hooked right arrow Pi(n)(1) X for some orbit spaces X

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Autor(es):
Golasinski, Marek ; Goncalves, Daciberg Lima ; Guaschi, John
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA; v. 23, n. 1, p. 29-pg., 2017-04-01.
Resumo

Under certain conditions, we describe the homotopy type of the homotopy fibre of the inclusion map F-n(X) hooked right arrow Pi(n)(1) X for the nth configuration space F-n (X) of a topological manifold X without boundary such that dim(X) >= 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-n(S-k/G) hooked right arrow Pi(n)(1) S-k/G. (AU)

Processo FAPESP: 14/50131-7 - Algebraic and topological properties of the braid groups of the real projective plane, sphere, disk, orbit configuration spaces, and relations with crystallographic groups
Beneficiário:Daciberg Lima Gonçalves
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
Beneficiário:Daciberg Lima Gonçalves
Modalidade de apoio: Auxílio à Pesquisa - Temático