

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





Topology for the working mathematicianMichael MugerPDF  407 Pages  EnglishThis note covers the following
topics: Basic notions of pointset topology, Metric spaces: Completeness and its
applications, Convergence and continuity, New spaces from old, Stronger
separation axioms and their uses, Connectedness. Steps towards algebraic
topology, Paths in topological and metric spaces, Homotopy.
 Introduction to Topology Lecture NotesProf. James MunkresOnline  NA Pages  EnglishThis note introduces
topology, covering topics fundamental to modern analysis and geometry. It also
deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such
as function spaces, metrization theorems, embedding theorems and the fundamental
group.
 Introduction to Topology by David MondDavid MondPDF  103 Pages  EnglishThis note explains the
following topics: Topology versus Metric Spaces, The fundamental group, Covering
Spaces, Surfaces.
 General Topology by Shivaji UniversityShivaji UniversityPDF  260 Pages  EnglishThis note covers
the following topics: Topological spaces, Bases and subspaces, Special
subsets, Different ways of defining topologies, Continuous functions, Compact
spaces, First axiom space, Second axiom space, Lindelof spaces, Separable
spaces, T0 spaces, T1 spaces, T2 – spaces, Regular spaces and T3 – spaces,
Normal spaces and T4 spaces, Completely Normal and T5 spaces, Product spaces
and Quotient spaces.
 Topology by P. VeeramaniP. VeeramaniPDF  143 Pages  EnglishThis note covers the following
topics: Topological Spaces, Product and Quotient Spaces, Connected Topological
Spaces, Compact Topological Spaces, Countability and Separation Axioms.
 Introduction to Topology University of CaliforniaUniversity of California,
RiversidePDF  156 Pages  EnglishThis note covers the following topics: Basic set theory, Products,
relations and functions, Cardinal numbers, The real number system, Metric and
topological spaces, Spaces with special properties, Function spaces,
Constructions on spaces, Spaces with additional properties, Topological groups,
Stereographic projection and inverse geometry.
 Lecture Notes on Topology by John RognesJohn RognesPDF  100 Pages  EnglishThis note describes the
following topics: Set Theory and Logic, Topological Spaces and Continuous
Functions, Connectedness and Compactness, Countability and Separation Axioms,
The Tychonoff Theorem, Complete Metric Spaces and Function Spaces, The
Fundamental Group.
 Introductory Topology by Jim L. BrownJim L. BrownPDF  271 Pages  EnglishThis book contains the
material covered in a yearlong topology sequence taught at Clemson University
during the 20092010 academic year. Major topics covered includes: PointSet
Topology, Differential Topology and de Rham cohomology, Singular Homology and
Cohomology, Sheaves and Cech Cohomology.
 Basic topologySoren Fuglede JorgensenPDF  93 Pages  EnglishThis note will mainly be concered
with the study of topological spaces. Topics covered includes: Set theory and
logic, Topological spaces, Homeomorphisms and distinguishability, Connectedness,
Compactness and sequential compactness, Separation and countability axioms.
 Topology by Harvard UniversityC. McMullenPDF  90 Pages  EnglishThis note covers the following topics
: Background in set theory, Topology, Connected spaces, Compact spaces, Metric spaces, Normal
spaces, Algebraic topology and homotopy theory, Categories and paths, Path
lifting and covering spaces, Global topology: applications, Quotients, gluing
and simplicial complexes, Galois theory of covering spaces, Free groups and
graphs,Group presentations, amalgamation and gluing.
 Introduction to Topology by Renzo CavalieriRenzo CavalieriPDF  118 Pages  EnglishThis is a collection
of topology notes compiled by Math topology students at the University of
Michigan in the Winter 2007 semester. Introductory topics of pointset 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 TopologyHuynh Quang VuPDF  170 Pages  EnglishThis 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 TopologyAlex KuronyaPDF  102 Pages  EnglishThis 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 SpacesT. W. KornerPDF  102 Pages  EnglishFirst 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.
  Topology Course Lecture Notes(McCluskey A, McMaster B)Aisling McCluskey and
Brian McMasterOnline  NA Pages  EnglishThis 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)  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 








