Logo

E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra

Large book cover: E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra

E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra
by

Publisher: Springer
ISBN/ASIN: 3540081364
ISBN-13: 9783540081364
Number of pages: 280

Description:
The theme of this book is infinite loop space theory and its multiplicative elaboration. This is the appropriate framework for the most structured development of algebraic K-theory, by which we understand the homotopy theory of discrete categories, and one of the main goals of this volume is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

Home page url

Download or read it online for free here:
Download link
(8.9MB, PDF)

Similar books

Book cover: H Ring Spectra and Their ApplicationsH Ring Spectra and Their Applications
by - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(9926 views)
Book cover: Equivariant Stable Homotopy TheoryEquivariant Stable Homotopy Theory
by - Springer
Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.
(14207 views)
Book cover: Notes on the course Algebraic TopologyNotes on the course Algebraic Topology
by - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(10192 views)
Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(8573 views)