Geodesic spaces tangent to metric spaces
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 given metric space are geodesic.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 9, pp 1448-1456.
Citation Example: Bilet V. V. Geodesic spaces tangent to metric spaces // Ukr. Mat. Zh. - 2012. - 64, № 9. - pp. 1273-1281.