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    Terrestrial Isopoda of Arkansas

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    Estimation of the Szlenk index of Banach Spaces via Schreier spaces

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    For each ordinal α<ω1\alpha<\omega_1, we prove the existence of a space with a basis and Szlenk index ωα+1\omega^{\alpha+1} which is universal for the class of spaces with Szlenk index not exceeding ωα\omega^\alpha. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.Comment: arXiv admin note: text overlap with arXiv:0809.3626 by other author

    Earthworms of Arkansas

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