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Independence and consistency proofs in quadratic form theory

Independence and consistency proofs in quadratic form theory

We consider the following properties of uncountable-dimensional quadratic spaces ( E , Φ): (*) For all subspaces U ⊆ E of infinite dimension: dim U ˔ < dim E . (**) For all subspaces U ⊆ E of infinite dimension: dim U ˔ < ℵ 0 . Spaces of countable …