A note on the P-homomorphism in homotopy groups of spheres-Reference-Cited by-同舟云学术

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A note on the P-homomorphism in homotopy groups of spheres

Published:1955-01 Issue:1 Volume:51 Page:230-233
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Hilton P. J.

Abstract

The homomorphism of the title is a homomorphism of πr(Sn) into πr+n−1(Sn) given by

where ι generates πn(Sn). Various results on the P-homomorphism were proved in (4); in particular it was shown that, if ηn generates πn+1(Sn), n ≥ 2, then

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On Products in Homotopy Groups

2. (3) Hilton P. J. On the homotopy groups of the union of spheres. (To be published.)

3. On the Freudenthal Theorems

4. On Join Operations in Homotopy Groups

5. On Certain Theorems of G. W. Whitehead

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1. On automorphisms of high-dimensional solid tori;Geometry & Topology;2024-07-18

2. Gottlieb Groups of Spheres;Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces;2014

3. Gottlieb groups of spheres;Topology;2008-11

4. Homotopy commutativity of the loop space of a finite CW-complex;Hiroshima Mathematical Journal;1990-01-01

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