From Tarski's Plank Problem to Simultaneous Approximation
نویسندگان
چکیده
منابع مشابه
Tarski's Plank Problem Revisited
In the 1930's, Tarski introduced his plank problem at a time when the field Discrete Geometry was about to born. It is quite remarkable that Tarski's question and its variants continue to generate interest in the geometric and analytic aspects of coverings by planks in the present time as well. The paper is a survey type with a list of open research problems.
متن کاملTarski ’ s Plank Problem Revisited
In the 1930’s, Tarski introduced his plank problem at a time when the field Discrete Geometry was about to born. It is quite remarkable that Tarski’s question and its variants continue to generate interest in the geometric and analytic aspects of coverings by planks in the present time as well. The paper is of a survey type with some new results and with a list of open research problems on the ...
متن کاملThe Plank Problem for Symmetric Bodies
Given a symmetric convex body C and n hyperplanes in an Euclidean space, there is a translate of a multiple of C, at least 1 n+1 times as large, inside C, whose interior does not meet any of the hyperplanes. The result generalizes Bang's solution of the plank problem of Tarski and has applications to Diophantine approximation.
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2017
ISSN: 0002-9890,1930-0972
DOI: 10.4169/amer.math.monthly.124.6.494