Abstract: This chapter discusses the classical Whitehead theorem, which states that if f: X → Y is a map between simply connected spaces such that H* f is an isomorphism for i ≤ n and an epimorphism for i = n + 1, then πi f is also an isomorphism for i ≤ n and an epimorphism for i = n + 1. However, as per the present Whitehead theorem, if n≥ 0 and if f: X → Y ∈ ℒ such that X and Y are connected and that Hi f is an isomorphism for i ≤ n and an epimorphism for i = n + 1. Then, in the notation of 2.2, πi f' is also an isomorphism for i ≤ n and an epimorphism for i = n + 1.
Publication Year: 1976
Publication Date: 1976-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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