Uniform Theory of Geometric Spaces

2010/08/24 by Alexander Popa, Popa, Alexander
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1008.4074

openalex publication_date 2010/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Isaak Moiseevich Yaglom deduced complete classification of geometric spaces. In this work, supposed to your attention, author formalizes Yaglom's approach and constructs uniform theory of geometric spaces on analytic level. Among its advantages there are its universality and the fact it is easy to use. It isn't limited to specific dimension. The theory becomes the background of the GeomSpace project (http://sourceforge.net/projects/geomspace/).

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