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The notion of dimension in geometry and algebra

Yuri I. Manin
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Abstract

This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.

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Yuri I. Manin. 2005-02-01. The notion of dimension in geometry and algebra. https://arxiv.org/abs/math/0502016

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