Geodesic spaces tangent to metric spaces

• Date: 2012
• Main Authors: Bilet, V. V., Билет, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2657
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the geometry of spaces tangent and pretangent to general metric spaces with marked point. We find a sufficient condition under which every separable tangent space is geodesic. This condition is almost exact in the sense that it is necessarily satisfied if all spaces pretangent to a...