On the Banach-Stone Theorem and the Manifold Topological Classification

Luiz C. L. Botelho

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arXiv · 0907.0237

On the Banach-Stone Theorem and the Manifold Topological Classification

Luiz C. L. Botelho

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Abstract

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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Luiz C. L. Botelho. 2012-07-02. On the Banach-Stone Theorem and the Manifold Topological Classification. https://arxiv.org/abs/0907.0237

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