A Guide to the Classification Theorem for Compact Surfaces - download pdf or read online

By Jean Gallier,Dianna Xu

ISBN-10: 3642343635

ISBN-13: 9783642343636

ISBN-10: 3642437109

ISBN-13: 9783642437106

This welcome boon for college kids of algebraic topology cuts a much-needed principal course among different texts whose therapy of the category theorem for compact surfaces is both too formalized and complicated for these with out precise history wisdom, or too casual to manage to pay for scholars a complete perception into the topic. Its committed, student-centred strategy info a near-complete evidence of this theorem, commonly famous for its efficacy and formal attractiveness. The authors current the technical instruments had to installation the tactic successfully in addition to demonstrating their use in a essentially established, labored example.

Ideal for college kids whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions equivalent to basic teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of special appendices that permit targeted, discrete studying the place it's required, with out interrupting the conscientiously deliberate constitution of the center exposition. lightly guiding readers throughout the ideas, thought, and functions of the class theorem, the authors objective to foster actual self belief in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and helpful recommendations to be had in algebraic topology.

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