18 citations · 128 across the 21 of their papers we have counts for
4 papers · 1 filter
Asymmetric Nondegenerate Geometry
Yuri Rylov
Nondegenerate geometry (T-geometry) with nonsymmetric world function is considered. In application to the space-time geometry the asymmetry of world function means that the past an…
Geometry without topology as a new conception of geometry
Yuri A. Rylov
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis o…
Geometry without Topology
Yuri A. Rylov
The proper Euclidean geometry is considered to be metric space and described in terms of only metric and finite metric subspaces (sigma-immanent description). Constructing the geom…
Classification of Finite Subspaces of Metric Space Instead of Constraints on Metrics
Yuri A. Rylov
A new method of metric space investigation, based on classification of its finite subspaces, is suggested. It admits to derive information on metric space properties which is encod…