Group theoretic characterization of metric geometries of arbitrary dimension
type: Item
instance of: scholarly article
title: Group theoretic characterization of metric geometries of arbitrary dimension
zbMATH Open document ID: 0567.51014
author: James T. Smith
published in: Geometriae Dedicata
publication date: 1985-01-01T00:00:00Z
review text: The author continues his previous works [ibid. 2, 485-497 (1974; Zbl 0271.50005), ibid., 349-370 (1973; Zbl 0271.50004) and Math. Nachr. 67, 265-272 (1975; Zbl 0309.50003)] and extends the second phase of the Bachmann's program on the foundation of metric geometry to the arbitrary (even infinite) dimensional case. Namely, a group theoretical foundation is developed for metric geometries in general.
Mathematics Subject Classification ID: 51F10
Mathematics Subject Classification ID: 51A45
zbMATH DE Number: 3905336
zbMATH Keywords: Bachmann's program
zbMATH Keywords: metric geometry
reviewed by: Boris Raykhshteyn
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3905336