000			01427nam a2200193 a 4500
020			_a9780521052658
020			_a0521052653
082			_a514.24 _bHIL
100			_aHilton,P.J.
245		3	_aAn introduction to homotopy theory.
260			_aCambridge: _bCambridge University Press, _c1953.
300			_a142 pages: _billustrations ;
490			_aCambridge tracts in mathematics, 43
500			_aIncludes Bibliography, Glossary & Index
505			_a1. Introduction; 2. The homotopy groups; 3. The classical theorems of homotopy theory; 4. The exact homotopy sequence; 5. Fibre-Spaces; 6. The Hopf invariant and suspension theorems; 7. Whitehead cell-complexes; 8. Homotopy groups of complexes.
520			_aSince the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes.
650			_aHomotopy theory.
942			_cBK
999			_c38032 _d38032