This volume is an intellectually stimiilatirig, informal presentation of those parts of point set topology that are of importance to t'he nonspecialist. It contents with fundamental concepts, topological vector spaces, the quotient topology, completion of metric spaces, homotopy, the two countability axioms, CW-complexes, construction of continuous functions on topological spaces, covoring spaces, and the theorem of TYCHONOFF. The last chapter on set theory is given by THEODOR BROCKER. I n his presentation, and through many illustrations, the a,iithor strongly appeals to the intuition of the reader, presenting many examplcs and situations where the understanding of elementary topological quostions will lead to much deeper and more advanced problems in topology and geometry.The original german edition was published in 1980 in SPRINGER'S series of Universitexts.

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