Hilton, P. J.

Introduction to homotopy theory - Cambridge: Cambridge University Press, 1961. - 142p.; pbk; 23cm. - Cambridge tracts in mathematics, no. 43 .

Includes index and references

Since 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.

https://www.cambridge.org/core/books/an-introduction-to-homotopy-theory/30462E5823427D2DCA4CAA8655AADBF8#fndtn-information

9780521052658


Homotopy theory
Geometry
Topology
Whitehead's cell-complexes
Hopf invariant

513.83 / HIL