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

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 consistently intriguing workout one has to move via earlier than one could learn nice works of literature within the unique language. the current e-book grew out of notes for an introductory topology direction on the college of Alberta. It offers a concise advent to set theoretic topology (and to a tiny bit of algebraic topology). it truly is available to undergraduates from the second one yr on, yet even starting graduate scholars can take advantage of a few components. nice care has been dedicated to the choice of examples that aren't self-serving, yet already obtainable for college students who've a historical past in calculus and straightforward algebra, yet now not unavoidably in genuine or complicated research. In a few issues, the ebook treats its fabric in a different way than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used generally, particularly for an intuitive evidence of Tychonoff's theorem; a quick and stylish, yet little identified facts for the Stone-Weierstrass theorem is given.

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