Introduction to Topology
by Alex Kuronya
Number of pages: 102
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; Classification of covering spaces.
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by Allen Hatcher - Cornell University
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.
by Jesper M. Moller
These notes are 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; etc.
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 John McCleary - American Mathematical Society
A focused introduction to point-set topology, the fundamental group, and the beginnings of homology theory. The text is intended for advanced undergraduate students. It is suitable for students who have studied real analysis and linear algebra.