This is a monograph that details the use of the classical results of homotopy groups of spheres, mainly the composition methods developed by Toda, e.g. EHP-sequences and others to determine some Gottlieb groups of spheres. It also uses Siegel's method and Lie groups to determine…
The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with com…
Preliminary and the classical homotopy theory Decompositions of self smash products Decompositions of the loop spaces The homotopy groups $\pi_{n+r}(\Sigma^n\mathbb{R}\mathrm{P}^2)$ for $n\geq 2$ and $r\leq8$ The homotopy theory of $\Sigma\mathbb{R}\mathrm{P}^2$ Bibliography.
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are ap…
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