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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 now not constantly interesting workout one has to move via sooner than you'll learn nice works of literature within the unique language. the current ebook 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's available 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 obtainable for college kids who've a heritage in calculus and basic algebra, yet no longer unavoidably in actual or complicated research. In a few issues, the e-book treats its fabric otherwise than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used broadly, particularly for an intuitive facts of Tychonoff's theorem; a quick and stylish, yet little recognized evidence for the Stone-Weierstrass theorem is given.

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