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  1. Topological Differential Fields and Dimension Functions.Nicolas Guzy & Françoise Point - 2012 - Journal of Symbolic Logic 77 (4):1147-1164.
    We construct a fibered dimension function in some topological differential fields.
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  • Cell Decomposition and Dimension Function in the Theory of Closed Ordered Differential Fields.Thomas Brihaye, Christian Michaux & Cédric Rivière - 2009 - Annals of Pure and Applied Logic 159 (1-2):111-128.
    In this paper we develop a differential analogue of o-minimal cell decomposition for the theory CODF of closed ordered differential fields. Thanks to this differential cell decomposition we define a well-behaving dimension function on the class of definable sets in CODF. We conclude this paper by proving that this dimension is closely related to both the usual differential transcendence degree and the topological dimension associated, in this case, with a natural differential topology on ordered differential fields.
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