Logo

Topics in topology: The signature theorem and some of its applications

Small book cover: Topics in topology: The signature theorem and some of its applications

Topics in topology: The signature theorem and some of its applications
by

Publisher: University of Notre Dame
Number of pages: 159

Description:
The author discusses several exciting topological developments that took place during the fifties decade which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Modern Algebraic TopologyModern Algebraic Topology
by - Macmillan
Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.
(7637 views)
Book cover: An Elementary Illustrated Introduction to Simplicial SetsAn Elementary Illustrated Introduction to Simplicial Sets
by - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(8759 views)
Book cover: The Geometry of Iterated Loop SpacesThe Geometry of Iterated Loop Spaces
by - Springer
A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
(10981 views)
Book cover: The Classification Theorem for Compact SurfacesThe Classification Theorem for Compact Surfaces
by
In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.
(15010 views)