Affine mobi spaces
arXiv:2109.06252
Abstract
The category of mobi algebras has been introduced as a model to the unit interval of real numbers. The notion of mobi space over a mobi algebra has been proposed as a model for spaces with geodesic paths. In this paper we analyse the particular case of affine mobi spaces and show that there is an isomorphism of categories between R-modules and pointed affine mobi spaces over a mobi algebra R as soon as R is a unitary ring in which 2 is an invertible element.
19 pages. arXiv admin note: text overlap with arXiv:2001.03441, arXiv:2102.02692