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Lecture notes on Topology
This is a set of lecture notes for a series of introductory courses in topology for undergraduate students at the University of Science, Vietnam National University–Ho Chi Minh City. Topics covered includes: Infinite sets, Topological space, Generating topologies, Continuity, Subspace, Connectedness, Separation, Convergence, Compact space, Product of spaces, Real functions and Sp, Algebraic Topology, Differential Topology, Tangent spaces and derivatives, Manifolds with boundaries.
Author(s): Huynh Quang Vu
170 Pages 
Lecture notes on Topology by Huynh Quang Vu
This note covers general topology, Geometric topology and differential topology.
Author(s): Huynh Quang Vu
118 Pages
General Topology lecture notes
This note covers introduction, Set theory, Topological spaces, Metric topologies, Connected spaces, Compactness, Advanced material.
Author(s): Thomas Baird
59 Pages
General Topology by Paul Souverains
This note covers topological spaces, Continuous functions, Compact topological spaces, Compact metric spaces, Separability axioms and theorems, Metrizations.
Author(s): Paul Souverains
323 Pages
General Topology by Tom Leinster
This note covers the following topics: Topological spaces, metric spaces, Topological properties, Subspaces, Compactness, Compact metric spaces, Connectedness, Connected subsets of the real line.
Author(s): Tom Leinster
85 Pages