Logo

Topology by Curtis T. McMullen

Small book cover: Topology

Topology
by

Publisher: Harvard University
Number of pages: 90

Description:
Contents: Introduction; 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.

Home page url

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Noncommutative Localization in Algebra and TopologyNoncommutative Localization in Algebra and Topology
by - Cambridge University Press
Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.
(9281 views)
Book cover: Manifolds and Differential FormsManifolds and Differential Forms
by - Cornell University
The text covers manifolds and differential forms for an audience of undergraduates who have taken a typical calculus sequence, including basic linear algebra and multivariable calculus up to the integral theorems of Green, Gauss and Stokes.
(12849 views)
Book cover: Optimization Algorithms on Matrix ManifoldsOptimization Algorithms on Matrix Manifolds
by - Princeton University Press
Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.
(17840 views)
Book cover: Topology and Physics: A Historical EssayTopology and Physics: A Historical Essay
by - arXiv
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(14085 views)