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Introduction to Topology by Renzo Cavalieri
This is a collection of topology notes compiled by Math topology students at the University of Michigan in the Winter 2007 semester. Introductory topics of point-set and algebraic topology are covered in a series of five chapters. Major topics covered includes: Making New Spaces From Old, First Topological Invariants, Surfaces, Homotopy and the Fundamental Group.
Author(s): Renzo Cavalieri
118 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 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
Introduction to Topology by Alex Kuronya
This note covers 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 and Classification of covering spaces.
Author(s): Alex Kuronya
102 Pages
This PDF covers the following topics related to Topology : Topology of Metric Spaces, Topological Spaces, Basis for a Topology, Topology Generated by a Basis, Infinitude of Prime Numbers, Product Topology, Subspace Topology, Closed Sets, Hausdorff Spaces, and Closure of a Set, Continuous Functions, A Theorem of Volterra Vito, Homeomorphisms, Product, Box, and Uniform Topologies, Compact Spaces, Quotient Topology, Connected and Path-connected Spaces, Compactness Revisited, Countability Axioms, Separation Axioms, Tychonoff’s Theorem.
Author(s): IIT Kanpur
37 Pages