Jean Gallier,Dianna Xu's 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 primary direction among different texts whose remedy of the class theorem for compact surfaces is both too formalized and complicated for these with out distinct heritage wisdom, or too casual to manage to pay for scholars a complete perception into the topic. Its devoted, student-centred procedure info a near-complete evidence of this theorem, greatly well known for its efficacy and formal good looks. The authors current the technical instruments had to installation the tactic successfully in addition to demonstrating their use in a basically 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 basic teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of targeted appendices that allow centred, discrete studying the place it really is required, with out interrupting the rigorously deliberate constitution of the middle exposition. lightly guiding readers during the rules, thought, and purposes of the category theorem, the authors goal to foster actual self assurance in its use and in so doing inspire readers to maneuver directly to a deeper exploration of the flexible and beneficial strategies 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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