000 02034nam a2200181 a 4500
020 _a9780387909707
020 _a0387909702
082 _a514
100 _aJames,I.M.
245 _aGeneral topology and homotopy theory
260 _aNew York :
300 _a248 pages :
_billustrations ;
500 _aIncludes Index
505 _aThe basic framework -- The axioms of topology -- Spaces under and spaces over -- Topological transformation groups -- The notion of homotopy -- Cofibrations and fibrations -- Numerable coverings -- Extensors and neighbourhood extensors.
520 _a Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.
650 _aTopology.
942 _cBK
999 _c38037