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

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 × N 2 equipped with the diagonal involution T × S where T and S are free involutions on M 2 and N 2 , respectively, and the indexes i ( M 2 , T ) = i ( N 2 , S...

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Veröffentlicht in:	Boletim da Sociedade Brasileira de Matemática 2019-09, Vol.50 (3), p.771-786
Hauptverfasser:	Gonçalves, Daciberg Lima, dos Santos, Anderson Paião
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical and Computational Physics Mathematics Mathematics and Statistics Theorems Theoretical
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