p-代数闭域上的半代数三角剖分
Semi-algebraic triangulation over p-adically closed fields
摘要:
我们证明了一个三角剖分定理的半代数集上的p-adically封闭的领域,非常类似于它的真正对应。我们从中得到了一些应用,如半代数集的柔性收缩和分裂的存在性。
英文摘要:
We prove a triangulation theorem for semi-algebraic sets over a p-adically closed field, quite similar to its real counterpart. We derive from it several applications like the existence of flexible retractions and splitting for semi-algebraic sets.
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