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- W2896586936 abstract "We prove the existence of definable retractions onto arbitrary closed subsets of $K^{n}$ definable over Henselian valued fields $K$. Hence directly follows non-Archimedian analogues of the Tietze--Urysohn and Dugundji theorems on extending continuous definable functions. The main ingredients of the proof are a description of definable sets due to van den Dries, resolution of singularities and our closedness theorem." @default.
- W2896586936 created "2018-10-26" @default.
- W2896586936 creator A5023160028 @default.
- W2896586936 date "2018-08-29" @default.
- W2896586936 modified "2023-09-27" @default.
- W2896586936 title "Definable retractions and a non-Archimedean Tietze--Urysohn theorem over Henselian valued fields." @default.
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