Metric space and function space topology

Author: Lin Shou
Publisher:
Publish Date: 2004-05-01
Features: The main content of this book is the generalized metric properties and cardinal function properties of function spaces. The book is divided into two parts and six chapters. Part one introduces compact spaces, paracompact spaces, metric spaces, and continuous mappings of metric spaces. The second part introduces the topological structure of continuous function spaces, cardinal functions, and some important generalized metric properties. It reflects part of the author's research achievements and the research trends of function space theory internationally. It highlights the role of completeness in exploring the convergence of function spaces and applies set-theoretic topology to function spaces.