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New Trends in Intuitive GeometryThe Topological Transversal Tverberg Theorem Plus Constraints

New Trends in Intuitive Geometry: The Topological Transversal Tverberg Theorem Plus Constraints [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

New Trends in Intuitive GeometryThe Topological Transversal Tverberg Theorem Plus Constraints

Part of the Bolyai Society Mathematical Studies Book Series (volume 27)
Editors: Ambrus, Gergely; Bárány, Imre; Böröczky, Károly J.; Fejes Tóth, Gábor ; Pach, János
Blagojević, Pavle V. M.; Blagojević, Aleksandra S. Dimitrijević; Ziegler, Günter M.
New Trends in Intuitive Geometry — Nov 3, 2018
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Publisher
Springer Berlin Heidelberg
Copyright
© János Bolyai Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018. Corrected Publication 2018
ISBN
978-3-662-57412-6
Pages
49 –64
DOI
10.1007/978-3-662-57413-3_3
Publisher site
See Chapter on Publisher Site

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.]

Published: Nov 3, 2018

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