This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
S. Akbulut, H. King, Real Algebraic Structures on Topological Spaces, Publ. Math. No. 53, I.H.E.S. 79–162, 1981.
G. Brumfiel, Partially Ordered Rings and Semi-algebraic Geometry, Cambridge University Press, London Mathematical Society Lecture Notes, Series 37, 1979.
J. Bochnak, G. Efroymson, Real algebraic geometry and the Hilbert 17th problem, Math. Ann. 251, 213–241 (1980).
J. Bochnak, W. Kucharz, M. Shoita, The divisor class groups of some rings of global real anaytic, Nash or rational regular functions, preprint.
M. Coste, M.F. Coste-Roy, Topologies for real algebraic geometry, in Topos methods in geometry, Aarhus Universitet, pub. no. 30, 1979.
M. Coste, preprint.
P. Cohen, Decision procedure for real and P-adic fields, Comm. Pure and Appl. Math. 22, 131–151 (1969).
G. Efroymson, Substitution in Nash functions, Pac. J. of Math. 54, 101–112 (1976).
G. Efroymson, Nash rings on planar domains, Trans. A.M.S. 249, 435–445 (1979).
G. Efroymson, Extension of Nash functions, preprint.
G. Efroymson, Extension of Nash functions on real curves, in preparation.
L. Mahé, Separation des composantes réelles par les signatures d’espaces quadratiques, Comptes Rend. Acad. Sc. t. 292, 769–771 (1981).
L. Mahé, Signatures et composantes connexes, (to appear in Math. Annalen).
T. Mostowski, Some properties of the ring of Nash functions, Ann. Sc. Norm. Sup. Pisa C., Sci. III, 243–266 (1976).
J. J. Risier, Sur l’anneau des fonctions de Nash globales, Ann. Sci. Ecole Norm sup. 8, 365–378 (1975).
M. Shlota, Classification of Nash manifolds, preprint.
A. Tognoll, Algebraic Geometry and Nash Functions, Inst. Naz. dialta Math., Institutiones Mathematicae, v. iii, Academic Press, 1978.
A. Tognoll, Algebraic approximation of manifolds and spaces, Sem. Bourbaki vol. 1979/80, Expose 548, Lecture Notes in Math no. 842, Springer-Verlag, 1981.
J. A. Tougeron, Fonctions composees differentiables: cas algébrique, Ann. Inst. Fourier, 30 (4), 51–74 (1980)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Bochnak, J., Efroymson, G. (1982). An introduction to Nash functions. In: Colliot-Thélène, JL., Coste, M., Mahé, L., Roy, MF. (eds) Géométrie Algébrique Réelle et Formes Quadratiques. Lecture Notes in Mathematics, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062249
Download citation
DOI: https://doi.org/10.1007/BFb0062249
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11959-3
Online ISBN: 978-3-540-39548-5
eBook Packages: Springer Book Archive