The topological transversal Tverberg theorem plus constraints
Combinatorics
2017-01-16 v2 Algebraic Topology
Metric Geometry
Abstract
In this paper we use the strength of the constraint method in combination with a generalized Borsuk-Ulam type theorem and a cohomological intersection lemma to show how one can obtain many new topological transversal theorems of Tverberg type. In particular, we derive a topological generalized transversal Van Kampen-Flores theorem and a topological transversal weak colored Tverberg theorem.
Cite
@article{arxiv.1604.02814,
title = {The topological transversal Tverberg theorem plus constraints},
author = {Pavle V. M. Blagojević and Aleksandra S. Dimitrijević Blagojević and Günter M. Ziegler},
journal= {arXiv preprint arXiv:1604.02814},
year = {2017}
}
Comments
9 pages; to appear in "Discrete and Intuitive Geometry - L\'aszl\'o Fejes T\'oth 100 Festschrift" (G. Ambrus, I. B\'ar\'any, K. J. B\"or\"oczky, G. Fejes T\'oth, J. Pach, eds.), Bolyai Society Mathematical Studies series, Springer