By Jean Gallier,Dianna Xu

This welcome boon for college kids of algebraic topology cuts a much-needed imperative course among different texts whose remedy of the class theorem for compact surfaces is both too formalized and complicated for these with out distinctive heritage wisdom, or too casual to find the money for scholars a entire perception into the topic. Its committed, student-centred technique information a near-complete evidence of this theorem, largely well known for its efficacy and formal good looks. The authors current the technical instruments had to installation the strategy successfully in addition to demonstrating their use in a basically established, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions corresponding to primary teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of precise appendices that permit centred, discrete studying the place it truly is required, with no interrupting the rigorously deliberate constitution of the center exposition. lightly guiding readers throughout the rules, conception, and purposes of the category theorem, the authors goal to foster real self assurance in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and important options to be had in algebraic topology.

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