Titlebook: New Trends in Intuitive Geometry; Gergely Ambrus,Imre Bárány,János Pach Book 2018 Springer-Verlag GmbH Germany, part of Springer Nature 20

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Indigence

agonist

fulmination

https://doi.org/10.1007/978-3-662-57413-3Discrete geometry; combinatorial geometry; packing and covering problems; incidence geometry; algebraic

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Obligatory

Gergely Ambrus,Imre Bárány,János Pach17 survey articles in an active research field.Modern algebraic and topological methods.Includes open problems in various connected areas

incite

The Topological Transversal Tverberg Theorem Plus Constraints, 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.

蟄伏

,On the Volume of Boolean Expressions of Balls – A Review of the Kneser–Poulsen Conjecture,t the distances between the centers of the balls do not increase, then the volume of the union of the balls does not increase as well. Our goal is to give a survey of attempts to prove this conjecture, to discuss possible generalizations, and to collect some relevant open questions.

stressors

,Erd?s–Szekeres Theorems for Families of Convex Sets,e subset in convex position. This classical result has been generalized in several directions. In this article we review recent progress related to one such direction, initiated by Bisztriczky and Fejes?Tóth, in which the points are replaced by convex sets.

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