2020•Acta ArithmeticaOpen access

On badly approximable subspaces

Natalia Dyakova

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Abstract

Given an $a$-dimensional linear subspace $\mathfrak {A}$ in $\mathbb {R}^d$ which contains a badly approximable $b$-dimensional subspace $\mathfrak {B} \subset \mathfrak {A}$, we study the bad approximability of almost all $c$-dimensional linear subspaces

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Given an $a$-dimensional linear subspace $\mathfrak {A}$ in $\mathbb {R}^d$ which contains a badly approximable $b$-dimensional subspace $\mathfrak {B} \subset \mathfrak {A}$, we study the bad approximability of almost all $c$-dimensional linear subspaces

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Available abstract

Given an $a$-dimensional linear subspace $\mathfrak {A}$ in $\mathbb {R}^d$ which contains a badly approximable $b$-dimensional subspace $\mathfrak {B} \subset \mathfrak {A}$, we study the bad approximability of almost all $c$-dimensional linear subspaces

Key concepts: Linear subspace, Subspace topology, Combinatorics, Mathematics, Discrete mathematics, Pure mathematics, Mathematical analysis

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