Work

Linear dilatation structures and inverse semigroups

Year: 2007
Type: preprint
Abstract: Here we prove that for dilatation structures linearity (see arXiv:0705.1440v1) is equivalent to a statement about the inverse semigroup generated by the family of dilatations of the space. The result is new for Carnot groups and the proof seems to be new even for vector spaces.
Language: English
Open Access status: green
OpenAlex ID: W39304907
Cites: 7
Cited by:
Related to: 10