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Two Spaces Looking for a Geometer

Published online by Cambridge University Press:  15 January 2014

Giorgio Parisi
Giorgio Parisi*
Affiliation:
Dipartimento di Fisica, SMC and UDRM1 of INFM, INFN, Università di Roma “La Sapienza” Piazzale Aldo Moro 2, I-00185 Rome, Italy.E-mail:[email protected]
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Abstract

In this talk I will introduce two spaces: the first space is the usual n-dimensional vector space with the unusual feature that n is a non-integer; the second space is composed of the linear matrices acting on the previous space (physicists are particularly interested in studying the limit as n goes to zero). These two spaces are not known to most mathematicians, but they are widely used by physicists. It is possible that, by extending the notion of space, they can become well defined mathematical objects.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 9 , Issue 2 , June 2003 , pp. 181 - 196
Copyright
Copyright © Association for Symbolic Logic 2003

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References

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