On the Banach-Stone Theorem and the Manifold Topological Classification

Details On the Banach-Stone Theorem and the Manifold Topological Classification On the Banach-Stone Theorem and the Manifold Topological Classification

2009-07-01

arxiv.org/abs/0907.0237v1

Mathematics

General Mathematics

03 pages-to be published as a communication in the Brazilian Meeting of Analysis -SBA

Scientific paper

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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