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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 regularly intriguing workout one has to move via earlier than you can learn nice works of literature within the unique language. the current ebook grew out of notes for an introductory topology direction on the college of Alberta. It presents a concise advent to set theoretic topology (and to a tiny bit of algebraic topology). it really is obtainable to undergraduates from the second one 12 months on, yet even starting graduate scholars can reap the benefits of a few elements. nice care has been dedicated to the choice of examples that aren't self-serving, yet already available for college students who've a heritage in calculus and basic algebra, yet no longer inevitably 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 largely, specifically for an intuitive facts of Tychonoff's theorem; a quick and stylish, yet little recognized facts for the Stone-Weierstrass theorem is given.

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A Taste of Topology (Universitext) by Volker Runde

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