Topology Atlas


Topology Course Lecture Notes

Aisling McCluskey and Brian McMaster

This is a preliminary version of textbook.

Contents

Chapter 1: Fundamental Concepts
Describing Topological Spaces; Closed sets and Closure; Continuity and Homeomorphism; Additional Observations
Chapter 2: Topological Properties
Compactness; Other Covering Conditions; Connectedness; Separability
Chapter 3: Convergence
The Failure of Sequences; Nets - A Kind of `Super-Sequence'; First Countable Spaces - Where Sequences Suffice
Chapter 4: Product Spaces
Constructing Products; Products and Topological Properties
Chapter 5: Separation Axioms
T1 Spaces; T2 (Hausdorff) Spaces; T3 Spaces; T3 1/2 Spaces; T4 Spaces

Formats

Please see the version of this textbook published by Oxford University Press.
Aisling McCluskey and Brian McMaster, Undergraduate Topology: A Working Textbook, Oxford University Press, 2014.


Copyright © 1997 by Aisling McCluskey and Brian McMaster. All rights reserved. Document # iaab-23.