@article{Becher2007Isotr-691,
  year={2007},
  title={Isotropy of quadratic spaces in finite and infinite dimension},
  volume={12},
  journal={Documenta Mathematica},
  pages={473--504},
  author={Becher, Karim Johannes and Hoffmann, Detlev W.}
}

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    <dcterms:abstract xml:lang="eng">In the late 1970s, Herbert Gross asked whether there exist fields admitting anisotropic quadratic spaces of arbitrarily large finite dimensions but none of infinite dimension. We construct examples of such fields and also discuss related problems in the theory of central simple algebras and in Milnor K-theory.</dcterms:abstract>
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