The notion of dimension in geometry and algebra

Manin, Yuri

doi:10.1090/S0273-0979-06-01081-0

The notion of dimension in geometry and algebra
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by Yuri I. Manin

Bull. Amer. Math. Soc. 43 (2006), 139-161

DOI: https://doi.org/10.1090/S0273-0979-06-01081-0

Published electronically: February 8, 2006

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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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