Freudenthal Suspension Theorem And James-Hopf Invariant of Spheres

Authors

Marek Golasiński Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Sloneczna 54 Street, 10-710 Olsztyn, Poland

DOI:

https://doi.org/10.37256/cm.3420221857

Keywords:

EHP-sequence, James construction, James-Hopf invariant, suspension homomorphism

Abstract

This paper relates more precisely the image of the suspension map Σ:π_2n+k(Sⁿ) → π_2n+k+1(Sⁿ⁺¹) with the kernel of James-Hopf invariant h₂:π_2n+k+1(Sⁿ⁺¹) → π_2n+k+1(S²ⁿ⁺¹) for k ≤ 9.

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Published

2022-11-17

Issue

Contemporary Mathematics, Volume 3 Issue 4 (2022), 386-561

Section

Research Article