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.
Introductory Topology by Jim L. BrownJim L. BrownPDF
| 271 Pages
This book contains the
material covered in a year-long topology sequence taught at Clemson University
during the 2009-2010 academic year. Major topics covered includes: Point-Set
Topology, Differential Topology and de Rham cohomology, Singular Homology and
Cohomology, Sheaves and Cech Cohomology.
Basic topologySoren Fuglede JorgensenPDF
| 93 Pages
This 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
This 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
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 TopologyHuynh Quang VuPDF
| 170 Pages
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 TopologyAlex KuronyaPDF
| 102 Pages
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 SpacesT. W. KornerPDF
| 102 Pages
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.
Topology Course Lecture Notes(McCluskey A, McMaster B)Aisling McCluskey and
| NA Pages
This note covers the following topics:Describing
Topological Spaces, Closed sets and Closure, Continuity and
Homeomorphism, Topological Properties, Convergence, Product Spaces
and Separation Axioms.
|Textbook in Problems on Elementary Topology|
|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|