The notion of dimension in geometry and algebra

Manin, Yuri

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

Author: Yuri I. Manin
Journal: Bull. Amer. Math. Soc. 43 (2006), 139-161
MSC (2000): Primary 14H10, 14N10
DOI: https://doi.org/10.1090/S0273-0979-06-01081-0
Published electronically: February 8, 2006
MathSciNet review: 2216108
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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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