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| File | Size | Format | |
|---|---|---|---|
| OWP2009_27.pdf | 331,15 kB | Adobe PDF | View/Open |
| Title: | Optimal bounds for the colored Tverberg problem |
| Authors: | Blagojevi´c, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. |
| Publishers Version: | https://doi.org/10.14760/OWP-2009-27 |
| Issue Date: | 2009 |
| Published in: | Oberwolfach preprints (OWP), Volume 2009-27, ISSN 1864-7596 |
| Publisher: | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach |
| Abstract: | We prove a "Tverberg type" multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of B´ar´any et al. (1980), by adding color constraints. It also provides an improved bound for the (topological) colored Tverberg problem of B´ar´any & Larman (1992) that is tight in the prime case and asymptotically optimal in the general case. The proof is based on relative equivariant obstruction theory. |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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