A remark on the invariance of dimension

Michael Mueger

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arXiv · 1310.8090

A remark on the invariance of dimension

Michael Mueger

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Abstract

Combining Kulpa's proof of the cubical Sperner lemma and a dimension theoretic idea of van Mill we give a very short proof of the invariance of dimension, i.e. the statement that cubes [0,1]^n, [0,1]^m are homeomorphic if and only if n=m. This note is adapted from lecture notes for a course on general topology.

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Michael Mueger. 2013-10-30. A remark on the invariance of dimension. https://arxiv.org/abs/1310.8090

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