| Autor: |
Hasui, Sho, Kishimoto, Daisuke, Takeda, Masahiro, Tsutaya, Mitsunobu |
| Zdroj: |
Bulletin of the London Mathematical Society; Aug2023, Vol. 55 Issue 4, p1944-1956, 13p |
| Abstrakt: |
The topological Tverberg theorem states that any continuous map of a (d+1)(r−1)$(d+1)(r-1)$‐simplex into the Euclidean d$d$‐space maps some points from r$r$ pairwise disjoint faces of the simplex to the same point whenever r$r$ is a prime power. We substantially generalize this theorem to continuous maps of certain CW complexes, including simplicial ((d+1)(r−1)−1)$((d+1)(r-1)-1)$‐spheres, into the Euclidean d$d$‐space. We also discuss the atomicity of the Tverberg property. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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