A PRODUCT OF THE ۵-TOPOLOGICAL SPACES IS A ۵-TOPOLOGICAL SPACE
Ключевые слова:
Statistical metric space, ݃-topology, τ-neighborhood, ܴ-݃-topologyАннотация
We show that unlike the usual topologies the g-topologies are closed with respect to the products. Moreover, we bring much detailed explanations some examples of concepts related the statistical metric spaces.
Библиографические ссылки
Menger, K. Statistical metrics, Proc.Nat.Acad.Sci. USA 28, 535-537 (1942).
Wald, A. On a Statistical Generalization of Metric Spaces, Proc.Nat.Acad.Sci. 29, 196-197 (1943).
Thorp, E. O. Generalized topologies for statistical metric spaces, Fund. Math., Li, 51, 9-21 (1962).
Renukadevi, V., Vadakasi, S. On Various ݃-Topology in Statistical Metric Spaces, Universal Journal of Mathematics and Applications, 2(3), 107 – 115 (2019).
Zaitov, A. A. Statistical metric spaces, Abstract of the International Conference ‘Modern Problems of Geometry and Topology and their Applications’, Tashkent, Uzbekistan, November 21- 23, 2019, P. 89-90.
