Lecture Notes on Point-Set Topology (Third Edition)

Author: Xiong Jincheng
Publisher:
Publish Date: 2005-06-01
Features: This book introduces the fundamental knowledge of point-set topology, covering the following basic content: the definitions and basic properties of topological spaces and continuous mappings; methods for constructing new topological spaces; various topological invariants, such as connectedness, separation, compactness, and the completeness of metric spaces, as well as the relationships between these topological invariants; integrable and hereditary properties of these topological invariants; mapping spaces and their various basic topologies. This revised edition specifically includes a chapter on fundamental groups and their applications, while also supplementing and refining the content on naive set theory. It introduces some commonly used propositions equivalent to the Axiom of Choice. This book can serve as a textbook or reference for point-set topology courses in mathematics-related disciplines.