Description: By limiting his treatment to Euclidean subspaces, the author of this wide-ranging introduction to point-set, algebraic, and differential topology is able to avoid the tiresome technicalities inherent in axiomatic treatments and to develop extensively a number of topics central to topology itself as well as its applications in other areas of mathematics and science. In addition to the basic point-set topology of Euclidean spaces, the book covers elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, homotopy theory and the fundamental group, simplicial homology theory, the Hopf Trace Theorem, the Lefschetz Fixed Point Theorem, the Stone-Weierstrass Theorem, and Morse functions. This affordable edition, with a new section of solutions to selected problems, will be welcomed by advanced undergraduate and graduate students of mathematics.

Please Wait