Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Registro:

Documento: Artículo
Título:Algebraic geometry of topological spaces I
Autor:Cortiñas, G.; Thom, A.
Filiación:Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria Pab 1, C1428EGA Buenos Aires, Argentina
Mathematisches Institut, Universität Leipzig, PF 100920, DE-04009 Leipzig, Germany
Palabras clave:algebraic approximation; algebraic K-theory; projective modules; rings of continuous functions; Serre's conjecture
Año:2012
Volumen:209
Número:1
Página de inicio:83
Página de fin:131
DOI: http://dx.doi.org/10.1007/s11511-012-0082-6
Título revista:Acta Mathematica
Título revista abreviado:Acta Math.
ISSN:00015962
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00015962_v209_n1_p83_Cortinas

Referencias:

  • Bass, H., Some problems in "classical" algebraic K-theory (1973) Algebraic K-Theory, II: "Classical" Algebraic K-Theory and Connections with Arithmetic, 342, pp. 3-73. , (Seattle, WA, 1972), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Basu, S., Pollack, R., Roy, M.F., (2003) Algorithms in Real Algebraic Geometry, 10. , Algorithms and Computation in Mathematics, Springer, Berlin-Heidelberg
  • Beǐlinson, A.A., Higher regulators and values of L-functions (1984) Current Problems in Mathematics, 24, pp. 181-238. , Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, (Russian)
  • Bourbaki, N., (1981) Éléments de mathématique. Espaces vectoriels topologiques, , Chapitres 1 à 5. Masson, Paris
  • Brumfiel, G.W., Quotient spaces for semialgebraic equivalence relations (1987) Math. Z., 195, pp. 69-78
  • Calder, A., Siegel, J., Homotopy and Kan extensions (1976) Categorical Topology, 540, pp. 152-163. , (Mannheim, 1975), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Calder, A., Siegel, J., Kan extensions of homotopy functors (1978) J. Pure Appl. Algebra, 12, pp. 253-269
  • Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C., Bass' NK groups and cdh-fibrant Hochschild homology (2010) Invent. Math., 181, pp. 421-448
  • Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C., A negative answer to a question of Bass (2011) Proc. Amer. Math. Soc., 139, pp. 1187-1200
  • Cortiñas, G., Thom, A., Comparison between algebraic and topological K-theory of locally convex algebras (2008) Adv. Math., 218, pp. 266-307
  • Davis, J.F., (2008) Some remarks on Nil groups in algebraic K-theory, , Preprint, arXiv: 0803. 1641 [math. KT]
  • Drinfeld, V., Infinite-dimensional vector bundles in algebraic geometry: an introduction (2006) The Unity of Mathematics, 244, pp. 263-304. , Progr. Math., Birkhäuser, Boston, MA
  • Feǐgin, B.L., Tsygan, B.L., Additive K-theory (1987) K-Theory, Arithmetic and Geometry, 1289, pp. 67-209. , (Moscow, 1984-1986), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Frei, A., Kan extensions along full functors: Kan and Čech extensions of homotopy in-variant functors (1980) J. Pure Appl. Algebra, 17, pp. 285-292
  • Friedlander, E.M., Walker, M.E., Comparing K-theories for complex varieties (2001) Amer. J. Math., 123, pp. 779-810
  • Geller, S.C., Weibel, C.A., Hodge decompositions of Loday symbols in K-theory and cyclic homology (1994) K-Theory, 8, pp. 587-632
  • Gersten, S.M., On the spectrum of algebraic K-theory (1972) Bull. Amer. Math. Soc., 78, pp. 216-219
  • Gersten, S.M., Some exact sequences in the higher K-theory of rings (1973) Algebraic K-theory, I: Higher K-theories, 341, pp. 211-243. , (Seattle, WA, 1972), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Gubeladze, J., The Anderson conjecture and projective modules over monoid algebras (1987) Soobshch. Akad. Nauk Gruzin. SSR, 125, pp. 289-291. , (Russian)
  • Gubeladze, J., The Anderson conjecture and a maximal class of monoids over which projective modules are free (1988) Mat. Sb., 135 (177), pp. 169-185+271. , (Russian), English translation in Math. USSR-Sb., 63 (1989), 165-180
  • Gubeladze, J., On Bass' question for finitely generated algebras over large fields (2009) Bull. Lond. Math. Soc., 41, pp. 36-40
  • Hardt, R.M., Semi-algebraic local-triviality in semi-algebraic mappings (1980) Amer. J. Math., 102, pp. 291-302
  • Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II (1964) Ann. of Math., 79, pp. 109-203+205-326
  • Hochschild, G., Kostant, B., Rosenberg, A., Differential forms on regular affine algebras (1962) Trans. Amer. Math. Soc., 102, pp. 383-408
  • Jouanolou, J.P., Une suite exacte de Mayer-Vietoris en K-théorie algébrique (1973) Algebraic K-theory, I: Higher K-theories, 341, pp. 293-316. , (Seattle, WA, 1972), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Kahn, B., Algebraic K-theory, algebraic cycles and arithmetic geometry (2005) Handbook of K-Theory, 1, pp. 351-428. , Springer, Berlin-Heidelberg
  • Kassel, C., Sletsjøe, A.B., Base change, transitivity and Künneth formulas for the Quillen decomposition of Hochschild homology (1992) Math. Scand., 70, pp. 186-192
  • Kratzer, C., λ-structure en K-théorie algébrique (1980) Comment. Math. Helv., 55, pp. 233-254
  • Loday, J.-L., (1998) Cyclic Homology, 301. , Grundlehren der Mathematischen Wissenschaften, Springer, Berlin-Heidelberg
  • Loday, J.-L., Quillen, D., Cyclic homology and the Lie algebra homology of matrices (1984) Comment. Math. Helv., 59, pp. 569-591
  • Lück, W., Reich, H., The Baum-Connes and the Farrell-Jones conjectures in K- and L-theory (2005) Handbook of K-theory, 2, pp. 703-842. , Springer, Berlin-Heidelberg
  • Pedersen, E.K., Weibel, C.A., A nonconnective delooping of algebraic K-theory (1985) Algebraic and Geometric Topology, 1126, pp. 166-181. , (New Brunswick, NJ, 1983), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Pedersen, E.K., Weibel, C.A., K-theory homology of spaces (1989) Algebraic Topology, 1370, pp. 346-361. , (Arcata, CA, 1986), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Quillen, D., Higher algebraic K-theory. I (1973) Algebraic K-Theory, I: Higher K-Theories, 341, pp. 85-147. , (Seattle, WA, 1972), Lecture Notes in Math., Springer, Berlin-Heidelberg
  • Quillen, D., Projective modules over polynomial rings (1976) Invent. Math., 36, pp. 167-171
  • Rosenberg, J., K and KK: topology and operator algebras (1990) Operator Theory: Operator Algebras and Applications, 51 (PART 1), pp. 445-480. , (Durham, NH, 1988), Proc. Sympos. Pure Math., Amer. Math. Soc., Providence, RI
  • Rosenberg, J., The algebraic K-theory of operator algebras (1997) K-Theory, 12, pp. 75-99
  • Rosenberg, J., Comparison between algebraic and topological K-theory for Banach algebras and C *-algebras (2005) Handbook of K-Theory, 2, pp. 843-874. , Springer, Berlin-Heidelberg
  • Serre, J.-P., Faisceaux algébriques cohérents (1955) Ann. Of Math., 61, pp. 197-278
  • Soulé, C., Opérations en K-théorie algébrique (1985) Canad. J. Math., 37, pp. 488-550
  • Suslin, A.A., Projective modules over polynomial rings are free (1976) Dokl. Akad. Nauk SSSR, 229, pp. 1063-1066. , (Russian); English translation in Soviet Math. Dokl., 17 (1976), 1160-1164
  • Suslin, A.A., On the K-theory of algebraically closed fields (1983) Invent. Math., 73, pp. 241-245
  • Suslin, A.A., Wodzicki, M., Excision in algebraic K-theory and Karoubi's conjecture (1990) Proc. Nat. Acad. Sci. USA, 87 (24), pp. 9582-9584
  • Suslin, A.A., Wodzicki, M., Excision in algebraic K-theory (1992) Ann. of Math., 136, pp. 51-122
  • Swan, R.G., Projective modules over Laurent polynomial rings (1978) Trans. Amer. Math. Soc., 237, pp. 111-120
  • Swan, R.G., Gubeladze's proof of Anderson's conjecture (1992) Azumaya Algebras, Actions, and Modules, 124, pp. 215-250. , (Bloomington, IN, 1990), Contemp. Math., Amer. Math. Soc., Providence, RI
  • Switzer, R.M., (2002) Algebraic Topology-Homotopy and Homology, , Classics in Mathematics. Springer, Berlin-Heidelberg
  • Thom, A.B., (2003) Connective E-Theory and Bivariant Homology, , Ph. D. Thesis, Universität Münster, Münster
  • Thomason, R.W., Trobaugh, T., Higher algebraic K-theory of schemes and of derived categories (1990) The Grothendieck Festschrift, 88 III, pp. 247-435. , Progr. Math., Birkhäuser, Boston, MA
  • Wagoner, J.B., Delooping classifying spaces in algebraic K-theory (1972) Topology, 11, pp. 349-370
  • Weibel, C.A., Homotopy algebraic K-theory (1989) Algebraic K-Theory and Algebraic Number Theory, 83, pp. 461-488. , (Honolulu, HI, 1987), Contemp. Math., Amer. Math. Soc., Providence, RI
  • Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory (1989) Ann. Of Math., 129, pp. 591-639
  • Wodzicki, M., Homological properties of rings of functional-analytic type (1990) Proc. Nat. Acad. Sci. USA, 87 (13), pp. 4910-4911

Citas:

---------- APA ----------
Cortiñas, G. & Thom, A. (2012) . Algebraic geometry of topological spaces I. Acta Mathematica, 209(1), 83-131.
http://dx.doi.org/10.1007/s11511-012-0082-6
---------- CHICAGO ----------
Cortiñas, G., Thom, A. "Algebraic geometry of topological spaces I" . Acta Mathematica 209, no. 1 (2012) : 83-131.
http://dx.doi.org/10.1007/s11511-012-0082-6
---------- MLA ----------
Cortiñas, G., Thom, A. "Algebraic geometry of topological spaces I" . Acta Mathematica, vol. 209, no. 1, 2012, pp. 83-131.
http://dx.doi.org/10.1007/s11511-012-0082-6
---------- VANCOUVER ----------
Cortiñas, G., Thom, A. Algebraic geometry of topological spaces I. Acta Math. 2012;209(1):83-131.
http://dx.doi.org/10.1007/s11511-012-0082-6