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.