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  1. Combinatorics with definable sets: Euler characteristics and grothendieck rings.Jan Krajíček & Thomas Scanlon - 2000 - Bulletin of Symbolic Logic 6 (3):311-330.
    We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially ordered Euler characteristic and Grothendieck ring and give a characterization of structures that have non-trivial partially ordered Grothendieck ring. We give a generalization of counting functions to locally finite structures, and use the construction to show that the Grothendieck ring of the complex numbers contains as a subring the ring of (...)
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  • On the angular component map modulo P.Johan Pas - 1990 - Journal of Symbolic Logic 55 (3):1125-1129.
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