**Notes on Introductory Point-Set Topology**

by Allen Hatcher

**Publisher**: Cornell University 2011**Number of pages**: 53

**Description**:

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.

Download or read it online for free here:

**Download link**

(430KB, PDF)

## Similar books

**Algebraic General Topology**

by

**Victor Porton**-

**Mathematics21.org**

I introduce the concepts of funcoids which generalize proximity spaces and reloids which generalize uniform spaces. Funcoid is generalized concept of proximity, the concept of reloid is cleared from superfluous details concept of uniformity.

(

**3349**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.

(

**56080**views)

**Topology**

by

**David Wilkins**-

**Trinity College, Dublin**

The lecture notes for course 212 (Topology), taught at Trinity College, Dublin. Topics covered: Limits and Continuity, Open and Closed Sets, Metric Spaces, Topological Spaces, Normed Vector Spaces and Functional Analysis, Topology in the Plane.

(

**7240**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.

(

**6699**views)