Authors: | Blagojević, Pavle Dimitrijević-Blagojević, Aleksandra Ziegler, Günter |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | The topological transversal tverberg theorem plus constraints |
Journal: | New Trends in Intuitive Geometry |
Series/Report no.: | Bolyai Society Mathematical Studies |
Volume: | 27 |
First page: | 49 |
Last page: | 64 |
Issue Date: | 1-Jan-2018 |
Rank: | M14 |
ISBN: | 978-3-662-57412-6 |
ISSN: | 1217-4696 |
DOI: | 10.1007/978-3-662-57413-3_3 |
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. |
Publisher: | Springer Link |
Project: | Methods of Functional and Harmonic Analysis and PDE with Singularities Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security |
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