On badly approximable subspaces
Natalia Dyakova
Abstract
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Natalia Dyakova
Abstract
Open-access reader
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
Key concepts: Linear subspace, Subspace topology, Combinatorics, Mathematics, Discrete mathematics, Pure mathematics, Mathematical analysis