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11 - Trees of definable sets in ℤp

Published online by Cambridge University Press:  07 October 2011

By
Immanuel Halupczok
Edited by
Raf Cluckers ,
Johannes Nicaise  and
Julien Sebag
Immanuel Halupczok
Affiliation:
Münster Universität
Raf Cluckers
Affiliation:
Université de Lille
Johannes Nicaise
Affiliation:
Katholieke Universiteit Leuven, Belgium
Julien Sebag
Affiliation:
Université de Rennes I, France
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Information
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry , pp. 87 - 107
Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] J., Denef, The rationality of the Poincaré series associated to the p-adic points on a variety, Invent. Math., 77 (1984), pp. 1–23.Google Scholar
[2] J., Denef, p-adic semi-algebraic sets and cell decomposition, J. Reine Angew. Math., 369 (1986), pp. 154–166.Google Scholar
[3] I., Halupczok, Trees of definable sets over the p-adics. To appear in J. Reine Angew. Math.
[4] A., Macintyre, On definable subsets of p-adic fields, J. Symbolic Logic, 41 (1976), pp. 605–610.Google Scholar
[5] P., Scowcroft and L., van den Dries, On the structure of semialgebraic sets over p-adic fields, J. Symbolic Logic, 53 (1988), pp. 1138–1164.Google Scholar

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