**Quick Tour of the Topology of R**

by StevenHurder, DaveMarker

**Publisher**: University of Illinois at Chicago 2003**Number of pages**: 48

**Description**:

These notes are a supplement for the 'standard undergraduate course' in Analysis at the University of Illinois at Chicago. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to the results of Calculus.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**Notes on Introductory Point-Set Topology**

by

**Allen Hatcher**-

**Cornell University**

These are lecture notes from the first part of an undergraduate course in 2005, covering just the most basic things. From the table of contents: Basic Point-Set Topology; Connectedness; Compactness; Quotient Spaces; Exercises.

(

**5303**views)

**Real Variables: With Basic Metric Space Topology**

by

**Robert B. Ash**-

**Institute of Electrical & Electronics Engineering**

A text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature. The subject matter is fundamental for more advanced mathematical work.

(

**58056**views)

**Introduction to Topology**

by

**Alex Kuronya**

Contents: Basic concepts; Constructing topologies; Connectedness; Separation axioms and the Hausdorff property; Compactness and its relatives; Quotient spaces; Homotopy; The fundamental group and some applications; Covering spaces; etc.

(

**8605**views)

**Nonstandard Analysis in Topology**

by

**Sergio Salbany, Todor Todorov**-

**arXiv**

We present Nonstandard Analysis in the framework of the superstructure of a given infinite set. We also present several applications of this axiomatic approach to point-set topology. Some of the topological topics seem to be new in the literature.

(

**7739**views)