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General Topology by Shivaji University
This 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.
Author(s): Shivaji University
260 Pages 
Introduction to Topology by Professor Denis Auroux
This note covers the following topics: Topological Spaces, Bases, Subspaces, Products, Continuity, Continuity, Homeomorphisms, Limit Points, Sequences, Limits, Products, Connectedness, Path Connectedness, Compactness, Uncountability, Metric Spaces,Countability, Separability, and Normal Spaces.
Author(s): Professor Denis Auroux
113 Pages
This PDF covers the following topics related to Topology : Preliminaries, Metric Spaces, Topological Spaces, Constructing Topologies, Closed Sets and Limit Points, Continuous Functions, Product and Metric Topologies, Connected Spaces, Compact Spaces, Separation Axioms, Countability Properties, Regular and Normal Spaces.
Author(s): Ali Sait Demir
64 Pages
General Topology by Tom Leinster
This note covers the following topics: Topological spaces, metric spaces, Topological properties, Subspaces, Compactness, Compact metric spaces, Connectedness, Connected subsets of the real line.
Author(s): Tom Leinster
85 Pages
String topology is the study of algebraic and differential topological properties of spaces of paths and loops in manifolds. Topics covered includes: Intersection theory in loop spaces, The cacti operad, String topology as field theory, A Morse theoretic viewpoint, Brane topology.
Author(s): Ralph L. Cohen and Alexander A. Voronov
95 Pages
Topology for the working mathematician
This note covers the following topics: Basic notions of point-set 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.
Author(s): Michael Muger
407 Pages
Introduction to Topology Lecture Notes
This 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.
Author(s): Prof. James Munkres
NA Pages
This note covers the following topics: Topological Spaces, Product and Quotient Spaces, Connected Topological Spaces, Compact Topological Spaces, Countability and Separation Axioms.
Author(s): P. Veeramani
143 Pages
Introduction to Topology University of California
This 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.
Author(s): University of California, Riverside
156 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.
Author(s): Soren Fuglede Jorgensen
93 Pages
Topology by Harvard University
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.
Author(s): C. McMullen
90 Pages
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
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.
Author(s): Alex Kuronya
102 PagesAdvertisement
