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.
(7492 views)
Book cover: Algebraic and Geometric SurgeryAlgebraic and Geometric Surgery
by - Oxford University Press
Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.
(8798 views)
Book cover: Lectures on Introduction to Algebraic TopologyLectures on Introduction to Algebraic Topology
by - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(8327 views)
Book cover: Introduction to Algebraic Topology and Algebraic GeometryIntroduction to Algebraic Topology and Algebraic Geometry
by
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
(9590 views)