Download A Guide to the Classification Theorem for Compact Surfaces by Jean Gallier,Dianna Xu PDF

By Jean Gallier,Dianna Xu

This welcome boon for college kids of algebraic topology cuts a much-needed principal course among different texts whose remedy of the type theorem for compact surfaces is both too formalized and complicated for these with out particular historical past wisdom, or too casual to have enough money scholars a accomplished perception into the topic. Its committed, student-centred technique info a near-complete evidence of this theorem, largely well-liked 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 sincerely established, 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 exact appendices that permit centred, discrete studying the place it truly is required, with out interrupting the conscientiously deliberate constitution of the middle exposition. lightly guiding readers in the course of the rules, thought, and functions of the category theorem, the authors goal to foster real self belief in its use and in so doing inspire readers to maneuver directly to a deeper exploration of the flexible and important strategies on hand in algebraic topology.

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