Logo

The Classification Theorem for Compact Surfaces

Small book cover: The Classification Theorem for Compact Surfaces

The Classification Theorem for Compact Surfaces
by


Number of pages: 134

Description:
The topic of this book is the classification theorem for compact surfaces. We present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various "proofs".

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Topology of Stratified SpacesTopology of Stratified Spaces
by - Cambridge University Press
This book concerns the study of singular spaces using techniques of geometry and topology and interactions among them. The authors cover intersection homology, L2 cohomology and differential operators, the topology of algebraic varieties, etc.
(10560 views)
Book cover: E 'Infinite' Ring Spaces and E 'Infinite' Ring SpectraE 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra
by - Springer
The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.
(13961 views)
Book cover: Notes on the course Algebraic TopologyNotes on the course Algebraic Topology
by - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(12174 views)
Book cover: Topological Groups: Yesterday, Today, TomorrowTopological Groups: Yesterday, Today, Tomorrow
by - MDPI AG
The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
(7744 views)