**Manifold Theory**

by Peter Petersen

**Publisher**: UCLA 2010**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.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Notes on the course Algebraic Topology**

by

**Boris Botvinnik**-

**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.

(

**6297**views)

**Topology Illustrated**

by

**Peter Saveliev**-

**Intelligent Perception**

The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.

(

**6125**views)

**Homotopy Theories and Model Categories**

by

**W. G. Dwyer, J. Spalinski**-

**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.

(

**6016**views)

**Introduction to Characteritic Classes and Index Theory**

by

**Jean-Pierre Schneiders**-

**Universidade de Lisboa**

This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.

(

**6228**views)