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: An Elementary Illustrated Introduction to Simplicial SetsAn Elementary Illustrated Introduction to Simplicial Sets
by - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(4496 views)
Book cover: Introduction to Characteritic Classes and Index TheoryIntroduction to Characteritic Classes and Index Theory
by - Universidade de Lisboa
This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.
(6228 views)
Book cover: Introduction to Topological GroupsIntroduction to Topological Groups
by - UCM
These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem.
(6921 views)
Book cover: Elementary TopologyElementary Topology
by - American Mathematical Society
This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.
(12065 views)