Abstract

The paper extends badly approximable numbers to systems of linear forms and proves the winning and full-dimension result used in the focal paper.

Role in dependence graphs

Proof-critical source

On Some Properties of Irrational Subspaces

This paper is included only for the following marked statement:

  • Winning theorem for badly approximable systems · Theorem 1 and its game constructionShows that the parameter set of badly approximable systems of linear forms is winning.

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