ПРО ФУНКЦП, ЩО НЕПЕРЕРВН1 НА ДИФЕРЕНЦ1ЙОВНИХ КРИВИХ

Autor:	МАСЛЮЧЕНКО, В. К., ФОТIЙ, О. Г.
Zdroj:	Matematychni Studii; 2017, Vol. 47 Issue 2, p202-206, 5p
Abstrakt:	We prove that for a normed space X, a topological space Y, a point x0∈X, and a mapping f:X→Y, the continuity of all compositions foω:[0,1]→Y at zero on differentiable curves ω:[0,1]→X with ω(0)=x0 yields the continuity of f at x0. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu