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This section contains free e-books and guides on Topology, some of the resources in this section can be viewed online and some of them can be downloaded.

Topology Category
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Introduction to Topology by Renzo Cavalieri

PDF | 118 Pages | English
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.

 
Lecture notes on Topology

PDF | 170 Pages | English
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.

 
Introduction To Topology

PDF | 102 Pages | English
This book explains the following topics: Basic concepts, Constructing topologies, Connectedness, Separation axioms and the Hausdorff property, Compactness and its relatives, Quotient spaces, Homotopy, The fundamental group and some application, Covering spaces and Classification of covering space.

 
General Topology

| PDF Pages | English
Jesper M. Moller

 
Topology Course Lecture Notes(McCluskey A, McMaster B)

Online | NA Pages | English
This note covers the following topics:Describing Topological Spaces, Closed sets and Closure, Continuity and Homeomorphism, Topological Properties, Convergence, Product Spaces and Separation Axioms.

 
Topology Course Lecture Notes
Topology Notes(Strickland N)
The Geometry and Topology of Three Manifolds(Thurston W.P)
Topology course(Wilkins D.R)
Prigogine's Thermodynamic Emergence and Continuous Topological Evolution
Algebraic L theory and Topological Manifolds
Algebraic and geometric topology
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