Pseudocompact Topological Spaces: A Survey of Classic and New Results with Open Problems

Pseudocompact spaces are a fundamental class of objects in General Topology, and this book presents many results of historical importance on them. The concept of pseudocompactness was introduced by E. Hewitt in 1948, and the book examines new lines of research that have been at the forefront of mathematics. It is an essential asset for anyone in the field of topology.

Format: Hardback
Length: 299 pages
Publication date: 31 July 2018
Publisher: Springer International Publishing AG

This book, written with postgraduate students and researchers in mind, presents a wealth of significant historical findings on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness, which broadens the notion of compactness to encompass subsets of the real line. A topological space is deemed pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces form a natural and fundamental class of objects in General Topology, and the study of their properties has far-reaching implications in various branches of Mathematics, including Functional Analysis, Dynamical Systems, Set Theory, and Topological-Algebraic structures.

The authors of this volume are pioneers in their respective fields, and their comprehensive explanation of pseudocompact spaces is a valuable resource for anyone interested in topology. In addition, the text explores emerging research areas that have been at the forefront of mathematics. Unfortunately, there is no single text that comprehensively develops the extensive theory of pseudocompact spaces, making this book an indispensable tool for anyone working in the field.

Weight: 610g
Dimension: 161 x 241 x 25 (mm)
ISBN-13: 9783319916798
Edition number: 1st ed. 2018