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 Lecture NotesTopology Lecture Notes
by - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
(11626 views)
Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(8288 views)
Book cover: A Topology PrimerA Topology Primer
by - Technische Universit├Ąt Kaiserslautern
The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.
(12699 views)
Book cover: The Adams-Novikov Spectral Sequence and the Homotopy Groups of SpheresThe Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
by - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
(11527 views)