Homotopy group - Open Access .click

European Mathematical Society Magazine, 2023
From the introduction: In this article, we give a survey of the stable part of the homotopy groups of spheres. We will first recall the notion of stable homotopy, and then discuss an interpretation in terms of the framed cobordism and an application to the classification of exotic spheres.
Wang, Guozhen, Xu, Zhouli
openaire +2 more sources

Homotopy Groups and Torus Homotopy Groups

The Annals of Mathematics, 1948
In recent years it has been found that the homotopy groups [9] can be made into a more powerful tool by the introduction of new operations. Two such have been defined and utilized: (i) every element of the fundamental group 7r, induces an automorphism of the n-dimensional homotopy group 7rX, so that 7rn becomes a group with operators; (ii) to every ...
openaire +1 more source

Torsion in Homotopy Groups

The Annals of Mathematics, 1979
Fix a prime p. A simply connected space X has exponent pr at the prime p if pr annihilates the p-primary torsion of wc*(X). The basic example showing that such spaces exist is the fact that S2I'+' has exponent p2f` at p. This result was first obtained in the case p equals 2 by I. M. James [17] and later in the case of an odd prime by H. Toda [41].
Cohen, F. R., Moore, J. C., Neisendorfer, J. A. +2 more
openaire +2 more sources

fos: mathematics
mathematics - algebraic topology
algebraic topology math.at

homotopy groups of spheres
mathematics
16. peace & justice

geometric topology math.gt
mathematics - geometric topology
quantitative methods