Download E-books A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series) PDF

Algebraic topology is a simple a part of glossy arithmetic, and a few wisdom of this sector is imperative for any complicated paintings with regards to geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This e-book presents a close therapy of algebraic topology either for lecturers of the topic and for complex graduate scholars in arithmetic both focusing on this zone or carrying on with directly to different fields.

J. Peter May's method displays the large inner advancements inside of algebraic topology during the last numerous a long time, so much of that are principally unknown to mathematicians in different fields. yet he additionally keeps the classical shows of assorted issues the place acceptable. such a lot chapters finish with difficulties that extra discover and refine the techniques provided. the ultimate 4 chapters supply sketches of considerable components of algebraic topology which are as a rule passed over from introductory texts, and the e-book concludes with a listing of instructed readings for these drawn to delving extra into the field.

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