O čtvrtém Hilbertově problému
On Asymmetric Distances
In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the...
On conditions under which local isometries are motions
On generalizations of pseudo-harmonic and pseudo-Killing vectors
On manifolds with nonhomogeneous factors
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old problem in general topology concerning homogeneous spaces.
On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
On the geometry at infinity of the universal covering of
On the tangency of sets in generalized metric spaces