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This is Sikorski's extension theorem.
Theorem 2 (Extension theorem).
IfΩis uniform, then this result implies Jones' extension theorem [14].
The heart of Werning's argument is the Extension Theorem; cf. Theorem 14 in Hodges (2001).
We also give an extension theorem for two fuzzy metrics that agree in its nonempty intersection.
Further, from the extension theorem of solutions, we have.
The extra assumptions needed to get from the Extension Theorem to a denial of indeterminacy remain questionable; cf. Leitgeb (2005).
An analogue of Krein's extension theorem is proved for operator-valued positive definite functions on free groups.
Section 3 contains the simplest known proof of the Ohsawa–Takegoshi extension theorem.
According to the extension theorem of a solution, Theorem 3.1 is proved.
3. It is however not sufficient to get the extension theorem with optimal constant.
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