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

By Jean Gallier,Dianna Xu

This welcome boon for college students of algebraic topology cuts a much-needed significant direction among different texts whose remedy of the class theorem for compact surfaces is both too formalized and intricate for these with no unique 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 evidence of this theorem, broadly famous for its efficacy and formal good looks. The authors current the technical instruments had to install the strategy successfully in addition to demonstrating their use in a truly established, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions reminiscent of primary teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of distinctive appendices that permit concentrated, discrete studying the place it truly is required, with out interrupting the conscientiously deliberate constitution of the middle exposition. lightly guiding readers throughout the rules, 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 necessary suggestions on hand in algebraic topology.

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

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