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: The Convenient Setting of Global AnalysisThe Convenient Setting of Global Analysis
by - American Mathematical Society
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.
(16492 views)
Book cover: Lecture Notes on Seiberg-Witten InvariantsLecture Notes on Seiberg-Witten Invariants
by - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(12402 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.
(22670 views)
Book cover: ManifoldsManifolds
by - King's College London
From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.
(11914 views)