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arXiv · 2109.06252

Affine mobi spaces

J. P. Fatelo·N. Martins-Ferreira
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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.

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J. P. Fatelo, N. Martins-Ferreira. 2021-09-13. Affine mobi spaces. https://arxiv.org/abs/2109.06252

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