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Nonstandard analysis and cohomology
from PURE MATHEMATICS
Published online by Cambridge University Press: 30 March 2017
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- Nonstandard Methods and Applications in Mathematics , pp. 174 - 192Publisher: Cambridge University PressPrint publication year: 2006
References
, Isoperimetric inequalities and the Friedlander-Milnor conjecture, Preprint, Michigan, 2002.
, Toposes and local set theories, an introduction, Oxford Logic Guides, vol. 14, O.U.P., 1988.
and , Models and ultraproducts: An introduction, North-Holland, 1971.
and , o-minimal fundamental group, homology and manifolds, Journal of the London Mathematical Society. Second Series, vol. 65, (2002), no. 2, pp. 257–270.Google Scholar
and , Constructive analysis, Grundlehren der Mathematischen Wissenschaften, vol. 279, Springer-Verlag, Berlin, 1985.
and , Enlargements of categories, Preprint Series SFB 478, Number 286, Munster, 2003.
and , Nonstandard étale cohomology, Preprint Series SFB 478, Number 288, Munster, 2003.
, Model theory of profinite groups having the Iwasawa property, Illinois Journal of Mathematics, vol. 42, (1998), no. 1, pp. 70–96.Google Scholar
, , and , Decidability and undecidability theorems for PAC-fields, American Mathematical Society. Bulletin. New Series, vol. 4, (1981), no. 1, pp. 101–104.Google Scholar
and , Groupes algebriques, North Holland, 1970.
, Intersection theory, Springer, 1988.
, Sur la torsion dans la cohomologie l-adique d'une variété, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, vol. 297, (1983), no. 3, pp. 179–182.Google Scholar
and , Homological algebra, Springer, 1999.
and , Nonstandard analysis and the theory of Banach spaces, Nonstandard analysis-recent developments, Springer Lecture Notes in Mathematics, vol. 983, Springer, 1983, pp. 27–112.
, Personal communication.
, The Manin-Mumford conjecture and the model theory of difference fields, Annals of Pure and Applied Logic, vol. 112, (2001), no. 1, pp. 43–115.Google Scholar
, Geometric model theory, Proceedings of the international congress of mathematicians, vol. I (Berlin, 1998), Doc.Math. 1988, Extra Vol. I, 281–302.
, Motives, numerical equivalence, and semi-simplicity, Inventiones Mathematicae, vol. 107, (1992), no. 3, pp. 447–452.Google Scholar
, Ultraproducts and the discrete cohomology of algebraic groups, Algebraic K-theory, Fields Institute Communications, vol. 16, A.M.S., 1997, pp. 111–129.
, Topos theory, Academic Press, 1977.
, The standard conjectures, Motives ( et al., editors), Proceedings of Symposia in Pure Mathematics, vol. 55, American Mathematical Society, 1994, pp. 3–19.
and , Constructive logic versus algebraization 1, The L.E.J. Brouwer centenary symposium (Noordwijkerhout, 1981), Stud. Logic Found. Math., vol. 110, North-Holland, Amsterdam, 1982, pp. 217–260.
, Weil cohomology and model theory, Connections between model theory and algebraic and analytic geometry, Quad.Mat., vol. 6, Aracne, Rome, 2000, pp. 179–199.
, Lectures on étale cohomology, Michigan, 1998, available at www.math.1sa.umich.edu/jmilne.
, Polarizations and Grothendieck's standard conjectures, Annals of Mathematics, vol. 155, (2002), pp. 599–610.Google Scholar
, The red book of varieties and schemes, Springer Lecture Notes in Mathematics, vol. 1358, Springer, 1988.
and , On the finiteness theorem of Siegel andMahler concerning Diophantine equations, Journal of Number Theory, vol. 7, (1975), pp. 121–176.Google Scholar
, Uniform bounds in algebraic geometry and commutative algebra, Connections between model theory and algebraic and analytic geometry, Quad.Mat., vol. 6, Aracne, Rome, 2000, pp. 44–93.
, A new Weil cohomology theory, preprint, Leeds, 2003.
and , Bounds in the theory of polynomial ideals over fields. A nonstandard approach, Inventiones Mathematicae, vol. 76, (1984), pp. 77–91.Google Scholar
and , Gromov's theorem on groups of polynomial growth and elementary logic, Journal of Algebra, vol. 89, (1984), pp. 349–374.Google Scholar