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Toward a global understanding of \(\pi_\ast(S^n)\) - MaRDI portal

Toward a global understanding of \(\pi_\ast(S^n)\) (Q1126770)

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scientific article; zbMATH DE number 1184324
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Toward a global understanding of \(\pi_\ast(S^n)\)
scientific article; zbMATH DE number 1184324

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    Toward a global understanding of \(\pi_\ast(S^n)\) (English)
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    6 August 1998
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    A survey of recent work on global results in the homotopy of spheres. Starting from the EHP sequence the author reviews work on the creation of infinite families of elements in the light of Nishida's results on nilpotence, work on localization and telescopes, and work on the use of formal groups in homotopy theory. The paper closes with a glimpse of a connection between elliptic curves and the homotopy of spheres. Altogether a clear guide to trends in the homotopy of spheres over the past twenty years.
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    homotopy groups of spheres
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    periodicity in homotopy
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    localization in homotopy
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    elliptic curves and homotopy
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