**Topology Illustrated**

by Peter Saveliev

**Publisher**: Intelligent Perception 2014**Number of pages**: 301

**Description**:

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. The text is appropriate for self-study.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**The Homology of Iterated Loop Spaces**

by

**F. R. Cohen, T. J. Lada, P. J. May**-

**Springer**

A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.

(

**7847**views)

**A Primer on Homotopy Colimits**

by

**Daniel Dugger**-

**University of Oregon**

This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.

(

**7518**views)

**scl**

by

**Danny Calegari**-

**Mathematical Society of Japan**

This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.

(

**7909**views)

**Lectures on Introduction to Algebraic Topology**

by

**G. de Rham**-

**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.

(

**7566**views)