Point-Set Topology with Topics: Basic General Topology for Graduate Studies

Point-Set Topology with Topics: Basic General Topology for Graduate Studies can be used as an introduction to a general topology course for both undergraduate and graduate level courses. Presenting topological concepts which apply directly to functional analysis, this book will also be of interest to scholars working in those fields. Part I contains a summary of normed vector spaces and metric spaces, which will ease the reader into the main subject matter of general topology. Parts II to VI form the core of the text, presenting in diverse ways and at a range of levels the material usually covered in basic general topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed, in part VII, to more specialized or advanced topics of point-set topology. These appear in the form of a sequence of chapters, many of which can be studied independently. Each chapter is followed by a collection of 'concept review' questions whose answers can usually be found in the main body of the text. These questions highlight the main concepts presented in that chapter. They serve to attract the attention of the reader to ideas that are often overlooked when first encountered. The efforts required in answering such questions correctly will provide the student with the ability to solve the more complex problems collected at the end of each section.