Primitive recursive bounds for the finite version of Gowers' $c_0$ theorem

preprint2015arXivOpen access

We provide primitive recursive bounds for the finite version of Gowers' $c_0$ theorem for both the positive and the general case. We also provide multidimensional versions of these results.

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Primitive recursive bounds for the finite version of Gowers' $c_0$ theorem

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Primitive recursive bounds for the finite version of Gowers' c0c_0c0​ theorem

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Primitive recursive bounds for the finite version of Gowers' $c_0$ theorem