The first German edition of Seifert and Threlfall's "Lehrbuch der Topologie" was published in 1934. The book very quickly became the leading introductory textbook for students of geometric-algebraic topology (as distinguished from point set or "general" topology), a position which it held for possibly 30 to 35 years, during which time it was translated into Russian, Chinese, and Spanish. An English language edition is, then, long overdue. The translation presented here is due to Michael A. Goldman. This volume contains, in addition to Seifert and Threlfall's book, a translation into English, by Wolfgang Heil, of Seifert's foundational research paper "The topology of 3-dimensional fibered spaces". The manuscript treats a simple and beautiful question: what kinds of 3-dimensional manifolds can be made up as unions of disjoint circles, put together nicely?

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