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: Topology Lecture NotesTopology Lecture Notes
by - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
(7037 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.
(3214 views)
Book cover: A Concise Course in Algebraic TopologyA Concise Course in Algebraic Topology
by - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(13443 views)
Book cover: Higher Topos TheoryHigher Topos Theory
by - Princeton University Press
Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
(7134 views)