Dilatation structures I. Fundamentals
度量几何
2019-02-18 v4 群论
摘要
A dilatation structure is a concept in between a group and a differential structure. In this article we study fundamental properties of dilatation structures on metric spaces. This is a part of a series of papers which show that such a structure allows to do analysis, in the sense of differential calculus, on a metric space. We also describe a formal, universal calculus with binary decorated planar trees, which underlies any dilatation structure.
引用
@article{arxiv.math/0608536,
title = {Dilatation structures I. Fundamentals},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:math/0608536},
year = {2019}
}
备注
Will be available online at the site of the journal http://www.jglta.astralgo.eu/