Point Set Topology

An understanding of topology is fundamental to the grasp of most branches of mathematical analysis and geometry. This wide-ranging treatment opens with basic concepts of set theory and topological spaces; it concludes with the rudiments of functional analysis. Its remarkable depth contributes to its versatility as a classroom text, a guide for independent study, and a reference.
Suitable for advanced undergraduates and graduate students, this volume can serve as a text for a complete course in topology. Its comprehensive scope and coherent presentation make it equally valuable as a self-contained guide for those wishing to study at their own pace. Additional enrichment materials and advanced topic coverage--including extensive material on differentiable manifolds, abstract harmonic analysis, and fixed point theorems--constitute an excellent reference for mathematics teachers, students, and professionals.