3 papers
math.GN2024
Dieudonné completeness of function spaces
Mikhail Al'perin, Alexander V. Osipov
A space is called Dieudonné complete if it is complete relative to the maximal uniform structure compatible with its topology. In this paper, we investigated when the function spac…
math.GN2023
Generalization of the Grothendieck's theorem
Mikhail Al'perin, Alexander V. Osipov
In this paper, we have obtained a generalization of the Grothendieck's theorem for the space of continuous mappings where is a complete uniform space with the un…
math.GN2021
Embedding Theorems for function spaces
Mikhail Al'perin, Sergei Nokhrin, Alexander V. Osipov
In this paper, we have proved results similar to Tychonoff's Theorem on embedding a space of functions with the topology of pointwise convergence into the Tychonoff product of topo…