Elementary Topology

<p>Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology accessible to readers with at least three semesters of a calculus and analytic geometry sequence.<br>In addition to superb coverage of the fundamentals of metric spaces topologies convergence compactness connectedness homotopy theory and other essentials <i>Elementary Topology</i> gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.</p>