On functions that are continuous on differentiable curves (in Ukrainian)
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2
Abstract
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 f∘ω:[0,1]→Y at zero on differentiable curves ω:[0,1]→X with ω(0)=x0 yields the continuity of f at x0.
Authors and Affiliations
Volodymyr Maslyuchenko, O. G. Fotiy
Keywords
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- EP ID EP310127
- DOI 10.15330/ms.47.2.202-206
- Views 53
- Downloads 0
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