By Volker Runde

ISBN-10: 038725790X

ISBN-13: 9780387257907

If arithmetic is a language, then taking a topology direction on the undergraduate point is cramming vocabulary and memorizing abnormal verbs: an important, yet no longer constantly fascinating workout one has to move via prior to you'll be able to learn nice works of literature within the unique language. the current booklet grew out of notes for an introductory topology path on the college of Alberta. It offers a concise creation to set theoretic topology (and to a tiny bit of algebraic topology). it's available to undergraduates from the second one yr on, yet even starting graduate scholars can reap the benefits of a few components. 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 straight forward algebra, yet now not unavoidably in genuine or complicated research. In a few issues, the ebook treats its fabric otherwise than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used generally, specifically for an intuitive evidence of Tychonoff's theorem; a brief and chic, yet little identified evidence for the Stone-Weierstrass theorem is given.

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A Taste of Topology (Universitext) by Volker Runde


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