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Book
Lectures on homotopy theory
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ISBN: 9780444892386 0444892389 9786611754624 1281754625 0080872824 9780080872827 9781281754622 6611754628 Year: 1992 Volume: 171 Publisher: Amsterdam : Elsevier North-Holland,

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Abstract

The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers. All this was achieved by discussing H-spaces and CoH-spaces, fibrations and cofibrations

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