Read e-book online A Guide to the Classification Theorem for Compact Surfaces PDF

By Jean Gallier,Dianna Xu

This welcome boon for college kids of algebraic topology cuts a much-needed imperative course among different texts whose remedy of the category theorem for compact surfaces is both too formalized and intricate for these with out designated heritage wisdom, or too casual to have the funds for scholars a entire perception into the topic. Its devoted, student-centred strategy info a near-complete facts of this theorem, largely fashionable for its efficacy and formal good looks. The authors current the technical instruments had to install the tactic successfully in addition to demonstrating their use in a sincerely based, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions similar to primary teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of targeted appendices that permit concentrated, discrete studying the place it truly is required, with no interrupting the conscientiously deliberate constitution of the center exposition. lightly guiding readers in the course of the ideas, idea, and functions of the type theorem, the authors target to foster real self assurance in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and worthwhile thoughts to be had in algebraic topology.

Show description

Read Online or Download A Guide to the Classification Theorem for Compact Surfaces (Geometry and Computing) PDF

Similar geometry & topology books

Download e-book for iPad: Essential Topology (Springer Undergraduate Mathematics by Martin D. Crossley

Taking an immediate course, 'Essential Topology' brings an important features of recent topology close by of a second-year undergraduate scholar. It starts with a dialogue of continuity and, when it comes to many examples, ends up in the prestigious 'Hairy Ball theorem' and directly to homotopy and homology: the cornerstones of up to date algebraic topology.

Download e-book for kindle: The Local Structure of Algebraic K-Theory: 18 (Algebra and by Bjørn Ian Dundas,Thomas G. Goodwillie,Randy McCarthy

Algebraic K-theory encodes very important invariants for numerous mathematical disciplines, spanning from geometric topology and sensible research to quantity concept and algebraic geometry. As is usually encountered, this strong mathematical item is especially challenging to calculate. except Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few entire calculations have been on hand earlier than the invention of homological invariants provided through motivic cohomology and topological cyclic homology.

Homotopy Theory of Higher Categories: From Segal Categories - download pdf or read online

The learn of upper different types is attracting turning out to be curiosity for its many functions in topology, algebraic geometry, mathematical physics and type concept. during this hugely readable ebook, Carlos Simpson develops a whole set of homotopical algebra ideas and proposes a operating concept of upper different types.

Compactifying Moduli Spaces for Abelian Varieties (Lecture - download pdf or read online

This quantity provides the development of canonical modular compactifications of moduli areas for polarized Abelian kinds (possibly with point structure), construction at the past paintings of Alexeev, Nakamura, and Namikawa.

Extra resources for A Guide to the Classification Theorem for Compact Surfaces (Geometry and Computing)

Sample text

Download PDF sample

A Guide to the Classification Theorem for Compact Surfaces (Geometry and Computing) by Jean Gallier,Dianna Xu

by Robert

Rated 4.05 of 5 – based on 19 votes