This book is a companion to A general topology workbook published
by Birkhiiuser last year. In an ideal world the order of
publication would have been reversed, for the notation and some of
the results of the present book are used in the topology book and
on the other hand (the reader may be assured) no topology is used
here. Both books share the word Workbook in their titles. They are
based on the principle that for at least some branches of
mathematics a good way for a student to learn is to be presented
with a clear statement of the definitions of the terms with which
the subject is concerned and then to be faced with a collection of
problems involving the terms just defined. In adopting this
approach with my Dundee students of set theory and general topology
I found it best not to differentiate too precisely between simple
illustrative examples, easy exercises and results which in
conventional textbooks would be labelled as Theorems.
General
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