Z(2)-bordism and the Borsuk-Ulam Theorem

Autor(es)

Crabb, M. C. ^[1] ; Goncalves, D. L. ^[2] ; Libardi, A. K. M. ^[3] ; Pergher, P. L. Q. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Aberdeen, Dept Math, Aberdeen AB24 3UE - Scotland

^[2] Univ Sao Paulo, Dept Matemat, IME, Caixa Postal 66281, BR-05314970 Sao Paulo, SP - Brazil

^[3] IGCE UNESP, Dept Matemat, BR-13506900 Rio Claro, SP - Brazil

^[4] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MANUSCRIPTA MATHEMATICA; v. 150, n. 3-4, p. 371-381, JUL 2016.
• Citações Web of Science: 0

Resumo

The purpose of this work is to classify, for given integers , the bordism class of a closed smooth -manifold with a free smooth involution with respect to the validity of the Borsuk-Ulam property that for every continuous map there exists a point such that . We will classify a given free -bordism class according to the three possible cases that (a) all representatives of satisfy the Borsuk-Ulam property; (b) there are representatives and of such that satisfies the Borsuk-Ulam property but does not; (c) no representative of satisfies the Borsuk-Ulam property. (AU)

• Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático