Classification of semi-algebraic $p$-adic sets up to semi-algebraic bijection

Raf Cluckers

arxiv: math/0311434 · v1 · submitted 2003-11-25 · 🧮 math.LO

Classification of semi-algebraic p-adic sets up to semi-algebraic bijection

Raf Cluckers This is my paper

classification 🧮 math.LO

keywords semi-algebraicbijectionsetsadicclassificationdimensionexistsinfinite

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We prove that two infinite p-adic semi-algebraic sets are isomorphic (i.e. there exists a semi-algebraic bijection between them) if and only if they have the same dimension.

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Classification of semi-algebraic p-adic sets up to semi-algebraic bijection

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