A Taste of Topology (Universitext) - download pdf or read online

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 fascinating workout one has to head via ahead of you can learn nice works of literature within the unique language. the current publication grew out of notes for an introductory topology path on the collage of Alberta. It offers a concise creation 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 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 uncomplicated algebra, yet no longer inevitably in genuine or advanced research. In a few issues, the publication treats its fabric otherwise 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 brief and stylish, 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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