Generators of some homotopy groups of the mod 2 Moore space of dimension 3 or 5 (Q2731410)
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scientific article; zbMATH DE number 1625984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generators of some homotopy groups of the mod 2 Moore space of dimension 3 or 5 |
scientific article; zbMATH DE number 1625984 |
Statements
29 July 2001
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Whitehead product
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Toda bracket
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EHP sequence
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suspension
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homotopy fibre
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Generators of some homotopy groups of the mod 2 Moore space of dimension 3 or 5 (English)
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Let \(P^2\) be the real 2-dimensional projective space. This paper computes \(\Pi_5(P^2)\) and \(\Pi_i(\Sigma^3 P^2)\) for \(10\leq i\leq 13\), which are known to be 2-groups. Also a description of the generators is given. The paper uses several results from the literature about the homotopy fibre \(F_n\) of the pinching map \(\Sigma^{n-2} P^2\to S^n\) and the results of \textit{H. Toda}'s book [Composition methods in homotopy groups of spheres, Ann. Math. Stud. 49 (1962; Zbl 0101.40703)].
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