Modern analysis and topology

the long version

The book presents an integrated treatment of general topology and real analysis. The integration mechanism is the concept of a uniform space. Uniform spaces have enough structure to support modern analysis. At the same time they are general enough to include those spaces in which the most important developments of modern topology have occurred. The book is intended to take a reader of modest background to the frontiers of modern analysis and topology insofar as these disciplines can be done within the framework of uniform spaces. This book is intended to interest the expert as well as the novice. The book records many recent solutions to long-standing problems in both these areas and raises several new problems.