Topology occupies a central position in the mathematics of the late 20th-century. The concept of the fibre bundle provides an appropriate framework for studying differential geometry. There is a large amount of literature on this subject already, so this book aims to be a research stimulant and develops theories such as homotopy, equivariant homotopy, fibrewise homotopy and more. Part Two does assume a certain familiarity with the basic ideas from Part One, but is written in such a way that the reader interested mainly in stable theory should be able to begin with Part Two and refer back to Part One as necessary. Details on specific sections can be found in the introductions at the beginning of each part.
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