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Topological differential fields and dimension functions. (English) Zbl 1387.03032

Summary: We construct a fibered dimension function in some topological differential fields.

MSC:

03C60 Model-theoretic algebra
12H05 Differential algebra
03C10 Quantifier elimination, model completeness, and related topics
12L12 Model theory of fields
12J10 Valued fields
12J15 Ordered fields
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References:

[1] DOI: 10.1112/blms/bdq044 · Zbl 1203.03050
[2] First order topological structures and theories 52 pp 763– (1987) · Zbl 0628.03022
[3] Lascar and Morley ranks differ in differentially closed fields 64 pp 1280– (1999)
[4] DOI: 10.1016/j.apal.2009.08.001 · Zbl 1225.03040
[5] 0-D-valued fields 71 pp 639– (2006)
[6] Characterizing rosy theories 72 pp 919– (2007)
[7] Model theory 73 (1990)
[8] DOI: 10.1016/j.apal.2008.10.005 · Zbl 1173.03044
[9] DOI: 10.1090/S0894-0347-96-00216-0 · Zbl 0892.03013
[10] DOI: 10.1016/0168-0072(89)90061-4 · Zbl 0704.03017
[11] Fields Institute Communications 33 pp 323– (2003)
[12] A model complete theory of valued D-fields 65 pp 323– (2000)
[13] DOI: 10.2307/2118581 · Zbl 0862.12003
[14] Model theory: an introduction 217 (2002)
[15] Fundamenta Mathematicae 50 pp 45– (1961)
[16] Logic and algebra (Pontignano, 1994) 180 pp 191– (1996)
[17] Differential algebra and algebraic groups 54 (1973)
[18] Basic algebra 2 (1980)
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