Mathematics Books Topology Books

Topology by P. Veeramani

Topology by P. Veeramani

Topology by P. Veeramani

This note covers the following topics: Topological Spaces, Product and Quotient Spaces, Connected Topological Spaces, Compact Topological Spaces, Countability and Separation Axioms.

Author(s):

s143 Pages
Similar Books
Introduction to Topology by Alex Kuronya

Introduction to Topology by Alex Kuronya

This note covers Basic concepts, Constructing topologies, Connectedness, Separation axioms and the Hausdorff property, Compactness and its relatives, Quotient spaces, Homotopy, The fundamental group and some applications, Covering spaces and Classification of covering spaces.

s102 Pages
Topology I and II by Chris Wendl

Topology I and II by Chris Wendl

This note describes the following topics: Metric spaces, Topological spaces, Products, sequential continuity and nets, Compactness, Tychonoff’s theorem and the separation axioms, Connectedness and local compactness, Paths, homotopy and the fundamental group, Retractions and homotopy equivalence, Van Kampen’s theorem, Normal subgroups, generators and relations, The Seifert-van Kampen theorem and of surfaces, Torus knots, The lifting theorem, The universal cover and group actions, Manifolds, Surfaces and triangulations, Orientations and higher homotopy groups, Bordism groups and simplicial homology, Singular homology, Relative homology and long exact sequences, Homotopy invariance and excision, The homology of the spheres, Excision, The Eilenberg-Steenrod axioms, The Mayer-Vietoris sequence, Mapping tori and the degree of maps, ocal mapping degree on manifolds Degrees, triangulations and coefficients, CW-complexes, Invariance of cellular homology.

s382 Pages
General Topology by Tom Leinster

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.

s85 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 Lecture Notes

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.

sNA Pages
Introduction to Topology by David Mond

Introduction to Topology by David Mond

This note explains the following topics: Topology versus Metric Spaces, The fundamental group, Covering Spaces, Surfaces.

s103 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
Basic topology

Basic topology

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.

s93 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
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

Advertisement