Author : Stephen Willard
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its balanced treatment encompasses two broad areas of general topology. "Continuous topology," which centers on the effects of compactness and metrization and complete metric spaces, uniform spaces, and function spaces. The second area, "geometric topology," focuses on the connectivity properties of topological spaces and provides the core results from general topology that serve as background for subsequent courses in geometry and algebraic topology. This core is formed here by a series of nine sections on connectivity properties, topological characterization theorems, and homotopy theory Table Of Contents: Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its balanced treatment encompasses two broad areas of general topology. "Continuous topology," which centers on the effects of compactness and metrization and complete metric spaces, uniform spaces, and function spaces. The second area, "geometric topology," focuses on the connectivity properties of topological spaces and provides the core results from general topology that serve as background for subsequent courses in geometry and algebraic topology. This core is formed here by a series of nine sections on connectivity properties, topological characterization theorems, and homotopy theory.