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Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972
(Englisch)
Higher K-Theories
Bass, Hyman

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Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972

Produktbeschreibung

Higher K-theory of rings.- Problems about higher K-functors.- Relationship among K-theories.- Relations between higher algebraic K-theories.- Higher algebraic K-theory: I.- Buildings, stratifications, and higher K-theory.- Derived functors and algebraic K-theory.- Finite generation of the groups Ki of rings of algebraic integers.- On the homology of the fibre of ?q-1.- On the tangent space to Quillen K-theory.- Some exact sequences in the higher K-theory of rings.- Transfer, symmetric groups, and stable homotopy theory.- Algebraic K-theory and algebraic geometry.- Algebraic K-theory as generalized sheaf cohomology.- Une Suite exacte de Mayer-Vietoris en K-Theorie algebrique.- Quelques calculs en K-theorie des schemas.


Inhaltsverzeichnis



Higher K-theory of rings.- Problems about higher K-functors.- Relationship among K-theories.- Relations between higher algebraic K-theories.- Higher algebraic K-theory: I.- Buildings, stratifications, and higher K-theory.- Derived functors and algebraic K-theory.- Finite generation of the groups Ki of rings of algebraic integers.- On the homology of the fibre of ?q-1.- On the tangent space to Quillen K-theory.- Some exact sequences in the higher K-theory of rings.- Transfer, symmetric groups, and stable homotopy theory.- Algebraic K-theory and algebraic geometry.- Algebraic K-theory as generalized sheaf cohomology.- Une Suite exacte de Mayer-Vietoris en K-Theorie algebrique.- Quelques calculs en K-theorie des schemas.


Klappentext

Higher K-theory of rings.- Problems about higher K-functors.- Relationship among K-theories.- Relations between higher algebraic K-theories.- Higher algebraic K-theory: I.- Buildings, stratifications, and higher K-theory.- Derived functors and algebraic K-theory.- Finite generation of the groups Ki of rings of algebraic integers.- On the homology of the fibre of ?q-1.- On the tangent space to Quillen K-theory.- Some exact sequences in the higher K-theory of rings.- Transfer, symmetric groups, and stable homotopy theory.- Algebraic K-theory and algebraic geometry.- Algebraic K-theory as generalized sheaf cohomology.- Une Suite exacte de Mayer-Vietoris en K-Theorie algebrique.- Quelques calculs en K-theorie des schemas.




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