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: Algebraic and Geometric TopologyAlgebraic and Geometric Topology
by - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(16351 views)
Book cover: sclscl
by - Mathematical Society of Japan
This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.
(10280 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.
(10116 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.
(10070 views)