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arXiv 0907.0237math.GM
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On the Banach-Stone Theorem and the Manifold Topological Classification

Luiz C. L. Botelho

英文摘要:

We present a simple set-theoretic proof of the Banach-Stone Theorem .We thus apply this Topological classification theorem to the still unsolved problem of topological classification of euclidean manifolds through two conjectures and additionally we give a straightforward proof of the famous Brower theorem for Manifolds topologically classified by their euclidean dimensions.

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