Jin-ho Lee

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math.AT2021

The 23-rd and 24-th homotopy groups of the n-th rotation group

Yoshihiro Hirato, Jin-ho Lee, Toshiyuki Miyauchi +2

We denote by $π_{k} (R_{n})$ the $k$ -th homotopy group of the $n$ -th rotation group $R_{n}$ and $π_{k} (R_{n} : 2)$ the 2-primary components of it. We determine the group structures of $π_k(R_n:…

math.AT2015

Certain maps preserving self-homotopy equivalences

Jin-ho Lee, Toshihiro Yamaguchi

Let $E (X)$ be the group of homotopy classes of self homotopy equivalences for a connected CW complex $X$ . We observe two classes of maps $E$ -maps and co-$\mathc…

math.AT2015

Certain homotopy properties related to $map (Σ^{n} C P^{2}, S^{m})$

Jin-ho Lee

For given spaces $X$ and $Y$ , let $ma p (X, Y)$ and $ma p_{*} (X, Y)$ be the unbased and based mapping spaces from $X$ to $Y$ , equipped with compact-open topology respectively. Then let…

The 23-rd and 24-th homotopy groups of the n-th rotation group

Certain maps preserving self-homotopy equivalences

Certain homotopy properties related to map(ΣnCP2,Sm)

Certain homotopy properties related to $map (Σ^{n} C P^{2}, S^{m})$