The first five chapters of this book form an introductory course in
piece- wise-linear topology in which no assumptions are made other than
basic topological notions. This course would be suitable as a second
course in topology with a geometric flavour, to follow a first course in
point-set topology, andi)erhaps to be given as a final year
undergraduate course. The whole book gives an account of handle theory
in a piecewise- linear setting and could be the basis of a first year
postgraduate lecture or reading course. Some results from algebraic
topology are needed for handle theory and these are collected in an
appendix. In a second appen- dix are listed the properties of Whitehead
torsion which are used in the s-cobordism theorem. These appendices
should enable a reader with only basic knowledge to complete the book.
The book is also intended to form an introduction to modern geo- metric
topology as a research subject, a bibliography of research papers being
included. We have omitted acknowledgements and references from the main
text and have collected these in a set of "historical notes" to be found
after the appendices.