Une axiomatisation au premier ordre des arrangements de pseudodroites euclidiennes
Annales de l'Institut Fourier, Volume 49 (1999) no. 3, p. 883-903
We define a logical structure making it possible to represent arrangements of pseudolines in the Euclidean plane up to homeomorphism. We give a first-order axiomatisation of realizability of such structures by arrangements.
Nous définissons une structure logique permettant de représenter les classes d’homéomorphismes des arrangements de pseudodroites du plan euclidien. Nous donnons une axiomatisation finie du premier ordre de la réalisabilité des arrangements de pseudodroites.
@article{AIF_1999__49_3_883_0,
     author = {Courcelle, Bruno and Olive, Fr\'ed\'eric},
     title = {Une axiomatisation au premier ordre des arrangements de pseudodroites euclidiennes},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {49},
     number = {3},
     year = {1999},
     pages = {883-903},
     doi = {10.5802/aif.1697},
     mrnumber = {2000g:52022},
     zbl = {0973.51006},
     language = {fr},
     url = {https://aif.centre-mersenne.org/item/AIF_1999__49_3_883_0}
}
Une axiomatisation au premier ordre des arrangements de pseudodroites euclidiennes. Annales de l'Institut Fourier, Volume 49 (1999) no. 3, pp. 883-903. doi : 10.5802/aif.1697. https://aif.centre-mersenne.org/item/AIF_1999__49_3_883_0/

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