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

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

2003-11-25

arxiv.org/abs/math/0311434v1

J. Reine Angew. Math. 540 (2001), 105--114

Mathematics

Logic

9 pages

Scientific paper

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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