The Nielsen Borsuk-Ulam number
| Autor: | Fabiana Santos Cotrim, Daniel Vendrúscolo |
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| Rok vydání: | 2017 |
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| Zdroj: | Bull. Belg. Math. Soc. Simon Stevin 24, no. 4 (2017), 613-619 |
| ISSN: | 1370-1444 |
| DOI: | 10.36045/bbms/1515035010 |
| Popis: | A Nielsen-Borsuk-Ulam number ($NBU(f,\tau)$) is defined for continuous maps $f:X\to Y$ where $X$ and $Y$ are closed orientable triangulable $n$-mani\-folds and $X$ has a free involution $\tau$. This number is a lower bound, in the homotopy class of $f$, for the number of pairs of points in $X$ satisfying $f(x)=f\circ\tau(x)$. It is proved that $NBU(f,\tau)$ can be realized (Wecken type theorem) when $n\ge 3$. |
| Databáze: | OpenAIRE |
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