Introduction to homotopy theory

By:

Hilton, P. J

Series: Cambridge tracts in mathematics, no. 43Publication details: Cambridge University Press, 1961. Cambridge:Description: 142p.; pbk; 23cmISBN:

9780521052658

Subject(s):

DDC classification:

513.83 HIL

Summary: 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

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	513.83 HIL (Browse shelf(Opens below))	1	Available		031780

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

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