SEMI-ALGEBRAIC GEOMETRY WITH RATIONAL CONTINUOUS FUNCTIONS

Abstract : Let X be an affine real algebraic set . We investigate on the theory of algebraically constructible functions on X and the description of the semi-algebraic subsets of X when we replace the polynomial functions on X by some rational continuous functions on X.
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Contributor : Jean-Philippe Monnier <>
Submitted on : Wednesday, December 20, 2017 - 9:42:37 AM
Last modification on : Wednesday, December 19, 2018 - 2:08:04 PM

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  • HAL Id : hal-01286990, version 3
  • ARXIV : 1603.04193

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Jean-Philippe Monnier. SEMI-ALGEBRAIC GEOMETRY WITH RATIONAL CONTINUOUS FUNCTIONS. 2017. 〈hal-01286990v3〉

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