Logo

Manifold Theory by Peter Petersen

Small book cover: Manifold Theory

Manifold Theory
by

Publisher: UCLA
Number of pages: 77

Description:
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.

Home page url

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

Similar books

Book cover: Lectures on Introduction to Algebraic TopologyLectures on Introduction to Algebraic Topology
by - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(6261 views)
Book cover: Algebraic TopologyAlgebraic Topology
by - Cambridge University Press
Introductory text suitable for use in a course or for self-study, it covers fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The geometric aspects of the subject are emphasized.
(31630 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.
(7294 views)
Book cover: Homotopy Theories and Model CategoriesHomotopy Theories and Model Categories
by - University of Notre Dame
This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.
(6239 views)