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Topology Course Lecture Notes

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Author:  Aisling McCluskey and Brian McMaster 














Description 
Topology Course Lecture Notes:
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 `SuperSequence'; 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. 

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