Guy Boyde

activity

20202026

most citedSome asymptotic formulae for torsion in homotopy groups

2 citations · 3 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.AT2021

$Z / p^{r}$ -hyperbolicity via homology

Guy Boyde

We show that the homotopy groups of a Moore space $P^{n} (p^{r})$ , where $p^{r} \neq = 2$ , are $Z / p^{s}$ -hyperbolic for $s \leq r$ . Combined with work of Huang-Wu, Neisendorfer, and…

math.AT2021

$p$ -hyperbolicity of homotopy groups via $K$ -theory

Guy Boyde

We show that $S^{n} \lor S^{m}$ is $Z / p^{r}$ -hyperbolic for all primes $p$ and all $r \in Z^{+}$ , provided $n, m \geq 2$ , and consequently that various spaces containing $…

Z/pr-hyperbolicity via homology

p-hyperbolicity of homotopy groups via K-theory

$Z / p^{r}$ -hyperbolicity via homology

$p$ -hyperbolicity of homotopy groups via $K$ -theory