Diagonal Involutions and the Borsuk-Ulam Property for Product of Surfaces

Autor(es)

Goncalves, Daciberg Lima ^[1] ; dos Santos, Anderson Paiao ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, IME, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Tecnol Fed Parana, Dept Matemat, UTFPR CP, Ave Alberto Carazzai 1640, BR-86300000 Cornelio Procopio, PR - Brazil

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 3, p. 771-786, SEP 2019.
• Citações Web of Science: 0

Resumo

In this work we study a generalization of the Borsuk-Ulam Theorem. Namely, we replace the sphere S-n by a product of two closed surfaces M-2 x N-2 equipped with the diagonal involution T x S where T and S are free involutions on M2 and N2, respectively, and the indexes i (M-2, T) = i (N-2, S) = 2. Then we compute the index of the pair (M-2 x N-2, T x S) and we obtain a Borsuk-Ulam Theorem for M-2 x N-2. (AU)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático