Two spaces looking for a geometer

Details Two spaces looking for a geometer Two spaces looking for a geometer

2002-07-13

arxiv.org/abs/cond-mat/0207334v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, Talk given at "New programs and open problems in the foundation of mathematics and of its applications, in year 2000

Scientific paper

In this talk I will introduces two spaces: the first space is the usual n-dimensional vector space with the unusual feature that n is non-integer, the second space is composed by the linear matrices acting on the previous space (physicists are particularly interested to study the limit n going to zero). These two spaces are not known to most of the 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.

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