Jean Gallier,Dianna Xu's A Guide to the Classification Theorem for Compact Surfaces PDF

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 imperative course among different texts whose therapy of the class theorem for compact surfaces is both too formalized and complicated for these with out special historical past wisdom, or too casual to have enough money scholars a accomplished perception into the topic. Its committed, student-centred process information a near-complete facts of this theorem, broadly well-liked for its efficacy and formal attractiveness. The authors current the technical instruments had to install the strategy successfully in addition to demonstrating their use in a in actual fact based, labored example.

Ideal for college kids whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions comparable to primary teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of distinct appendices that permit concentrated, discrete studying the place it's required, with out interrupting the conscientiously deliberate constitution of the center exposition. lightly guiding readers in the course of the ideas, conception, and functions of the category 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 worthwhile strategies to be had in algebraic topology.

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