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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Goncalves, Daciberg Lima [1] ; dos Santos, Anderson Paiao [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 3, p. 771-786, SEP 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 16/24707-4 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants