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Homotopy theory of C/ Paul Arne Ostvaer

By: Ostvaer, Paul ArneMaterial type: Text

TextSeries: (Frontiers in mathematics)Publication details: Boston: Birkhauser, 2010Description: 139 p. ; 24 cmISBN: 9783034605649Subject(s): Homotopy theoryDDC classification: 514.24

Contents:

1 Introduction 2 Preliminaries 2.1 C*-spaces 2.2 G - C*-spaces 2.3 Model categories 3 Unstable C*-homotopy theory 3.1 Pointwise model structures 3.2 Exact model structures 3.3 Matrix invariant model structures 3.4 Homotopy invariant model structures 3.5 Pointed model structures 3.6 Base change 4 Stable C*-homotopy theory 4.1 C*-spectra 4.2 Bispectra 4.3 Triangulated structure 4.4 Brown representability 4.5 C*-symmetric spectra 4.6 C*-functors 5 Invariants 5.1 Cohomology and homology theories 5.2 KK-theory and the Eilenberg-MacLane spectrum 5.3 HL-theory and the Eilenberg-MacLane 5.4 The Chern-Connes-Karoubi character 5.5 K-theory of C*-algebras 5.6 Zeta functions 6 The slice filtration

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	514.24 OST/H (Browse shelf(Opens below))	Available		P25329

Total holds: 0

1 Introduction
2 Preliminaries
2.1 C*-spaces
2.2 G - C*-spaces
2.3 Model categories
3 Unstable C*-homotopy theory
3.1 Pointwise model structures
3.2 Exact model structures
3.3 Matrix invariant model structures
3.4 Homotopy invariant model structures
3.5 Pointed model structures
3.6 Base change
4 Stable C*-homotopy theory
4.1 C*-spectra
4.2 Bispectra
4.3 Triangulated structure
4.4 Brown representability
4.5 C*-symmetric spectra
4.6 C*-functors
5 Invariants
5.1 Cohomology and homology theories
5.2 KK-theory and the Eilenberg-MacLane spectrum
5.3 HL-theory and the Eilenberg-MacLane
5.4 The Chern-Connes-Karoubi character
5.5 K-theory of C*-algebras
5.6 Zeta functions
6 The slice filtration

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