การเลือกแบบต่อเนื่องที่อธิบายได้ในโครงสร้างขยายของฟีลด์ p-adic : Definable continuous selections in expansions of the p-adic field

To prove that if T is p-adic semialgebraic and has a continuous selection, then T has a p-adic semialgebraic continuous selection. To find other criterions that guarantee the existence of definable continuous selections. To use the positive answer of the main question to solve C. Fefferman and J. Kollar’s question on continuous solutions of linear equations.