Download PDF by Volker Runde: A Taste of Topology (Universitext)

By Volker Runde

If arithmetic is a language, then taking a topology path on the undergraduate point is cramming vocabulary and memorizing abnormal verbs: an important, yet no longer continually interesting workout one has to head via earlier than you could learn nice works of literature within the unique language. the current booklet grew out of notes for an introductory topology direction on the collage of Alberta. It offers a concise advent to set theoretic topology (and to a tiny bit of algebraic topology). it truly is obtainable to undergraduates from the second one yr on, yet even starting graduate scholars can make the most of a few elements. nice care has been dedicated to the choice of examples that aren't self-serving, yet already obtainable for college kids who've a history in calculus and straight forward algebra, yet now not unavoidably in actual or advanced research. In a few issues, the publication treats its fabric another way than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used greatly, particularly for an intuitive evidence of Tychonoff's theorem; a quick and chic, yet little recognized evidence for the Stone-Weierstrass theorem is given.

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A Taste of Topology (Universitext) by Volker Runde


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