Mathematics Books Topology Books

Notes on String Topology

Notes on String Topology

Notes on String Topology

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):

s95 Pages
Similar Books
Topology Notes by Franz Rothe

Topology Notes by Franz Rothe

This note explains the following topics: Metric spaces, Topological spaces, Limit Points, Accumulation Points, Continuity, Products, The Kuratowski Closure Operator, Dense Sets and Baire Spaces, The Cantor Set and the Devil’s Staircase, The relative topology, Connectedness, Pathwise connected spaces, The Hilbert curve, Compact spaces, Compact sets in metric spaces, The Bolzano-Weierstrass property.

s126 Pages
Topology for the working mathematician

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.

s407 Pages
Introduction to Topology  University of California

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.

s156 Pages
Lecture Notes on Topology by John Rognes

Lecture Notes on Topology by John Rognes

This 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.

s100 Pages
Topology by Harvard University

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.

s90 Pages
Introduction to Topology by Renzo Cavalieri

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.

s118 Pages
Lecture notes on Topology

Lecture notes on Topology

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.

s170 Pages
Metric and Topological Spaces

Metric and Topological Spaces

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.

s102 Pages
Topology Course Lecture               Notes(McCluskey A, McMaster B)

Topology Course Lecture Notes(McCluskey A, McMaster B)

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

sNA Pages
Topology               Notes(Strickland N)

Topology Notes(Strickland N)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
The Geometry and               Topology of Three Manifolds(Thurston W.P)

The Geometry and Topology of Three Manifolds(Thurston W.P)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Elementary               Topology Problem Textbook(400 pages)

Elementary Topology Problem Textbook(400 pages)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Topology               course(Wilkins D.R)

Topology course(Wilkins D.R)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Prigogine's Thermodynamic Emergence and Continuous Topological               Evolution

Prigogine's Thermodynamic Emergence and Continuous Topological Evolution

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Algebraic     and geometric Topology

Algebraic and geometric Topology

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Noncommutative     localization in algebra and topology

Noncommutative localization in algebra and topology

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages