The Borsuk-Ulam property for maps from the product of two surfaces into a surface
DOI:
https://doi.org/10.12775/TMNA.2021.020Keywords
Borsuk-Ulam theorem, involutions, surface braid groups, surfaceAbstract
Let $X$, $Y$, $S$ be closed connected surfaces and $\tau \times \beta$ a diagonal involution on $X \times Y$ where $\tau$ and $\beta$ are free involutions on $X$ and $Y$, respectively. In this work we study when the triple $(X \times Y, \tau \times \beta, S)$ satisfies the {\it Borsuk-Ulam property}. The problem is formulated in terms of an algebraic diagram, involving the 2-string braid group $B_{2}(S)$.References
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Copyright (c) 2021 Daciberg Lima Gonçalves, Ederson Paião dos Santos, Weslem Liberato Silva
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
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