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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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Algebraic Topology
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Lecture Notes for Topology

PDF | 55 Pages | English
This lecture note covers the following topics: Topological spaces, Separation axioms, Subspace of a topological space, Product of topological spaces, Disjoint unions, Connected spaces, Compact spaces, Sequential compactness, Separation axioms, Simplicial complexes and Surfaces.

 
Lecture notes in Basic Topology

PDF | 95 Pages | English
This lecture note covers the following topics: Topology describes the concept of a space without referring to any distances between points. Topological Spaces, Interior, Closure, Boundary and Limit Points, The Hausdorff Property and Limits, The Supremum or Infimum Property of R, The Product Topology, Homeomorphisms, Connectedness, Compactness, Lebesgue Numbers and Uniform Continuity, Quotient Topology, Completions and the Construction of R.

 
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.

 
Metric and Topological Spaces

PDF | 102 Pages | English
First part of this course note presents a rapid overview of metric spaces to set the scene for the main topic of topological spaces.Further it covers 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 and Compactness.

 
General Topology
Topology Course Lecture Notes(McCluskey A, McMaster B)
Topology Without Tears(Morris S.A)
Textbook in Problems on Elementary Topology
Topology Course Lecture Notes
Foliations and the topology of 3 manifolds
Topology Notes(Strickland N)
The Geometry and Topology of Three Manifolds(Thurston W.P)
Elementary Topology Problem Textbook(400 pages)
Topology course(Wilkins D.R)
Prigogine's Thermodynamic Emergence and Continuous Topological Evolution
Algebraic L theory and Topological Manifolds
Algebraic and geometric topology
Noncommutative localization in algebra and topology
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