by Jesper M. Moller
Number of pages: 75
These notes are intended as an introduction to general topology. They should be sufficient for further studies in geometry or algebraic topology. The text covers: Sets and maps; Topological spaces and continuous maps; Regular and normal spaces; Relations between topological spaces.
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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.
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.
by Peter Saveliev - Intelligent Perception
This is an introductory, one semester course on point-set topology and applications. Topics: topologies, separation axioms, connectedness, compactness, continuity, metric spaces. Intended for advanced undergraduate and beginning graduate students.
by T. W. Körner - University of Cambridge
Contents: What is a metric?; Examples of metric spaces; Continuity and open sets for metric spaces; Closed sets for metric spaces; Topological spaces; Interior and closure; More on topological structures; Hausdorff spaces; Compactness; etc.