Marek Golasi'nski

activity

20142018

collaborators

3 papers

math.AT2018

Exponents of $[Ω (S^{r + 1}), Ω (Y)]$

Marek Golasiński, Daciberg Lima Gonçalves, Peter Wong

We investigate the exponents of the total Cohen groups $[Ω (S^{r + 1}), Ω (Y)]$ for any $r \geq 1$ . In particular, we show that for $p \geq 3$ , the $p$ -primary exponents of $[Ω(\ma…

math.AT2017

Generalized Gottlieb and Whitehead center groups of space forms

Marek Golasiński, Thiago de Melo

We extend the Oprea's result $G_{1} (S^{2 n + 1} / H) = Z H$ to the 1st generalized Gottlieb group $G_{1}^{f} (S^{2 n + 1} / H)$ for a map $f : A \to S^{2 n + 1} / H$ …

math.AT2014

On the group structure of $[Ω S^{2}, Ω Y]$

Marek Golasiński, Daciberg Gonçalves, Peter Wong

Let $J (X)$ denote the James construction on a space $X$ and $J_{n} (X)$ be the $n$ -th stage of the James filtration of $J (X)$ . It is known that $[J(X),ΩY]\cong \lim\limits_{\leftarrow…

Exponents of [Ω(Sr+1),Ω(Y)]

Generalized Gottlieb and Whitehead center groups of space forms

On the group structure of [ΩS2,ΩY]

Exponents of $[Ω (S^{r + 1}), Ω (Y)]$

On the group structure of $[Ω S^{2}, Ω Y]$