Toshihiro Yamaguchi

activity

20092026

most citedA rational obstruction to be a Gottlieb map

2 citations · 4 across the 19 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AT2013

Rational toral rank of a map

Toshihiro Yamaguchi

Let $X$ and $Y$ be simply connected CW complexes with finite rational cohomologies. The rational toral rank $r_{0} (X)$ of a space $X$ is the largest integer $r$ such that the torus $…

math.AT2013

A rational realization problem in Gottlieb group

Toshihiro Yamaguchi

We define the fibre-restricted Gottlieb group with respect to a fibration $ξ : X \to E \to Y$ in CW complexes. It is a subgroup of the Gottlieb group of $X$ . When $X$ and $E$ are finit…

math.AT2013

C-symplectic poset structure on a simply connected space

Kazuya Hamada, Toshihiro Yamaguchi, Shoji Yokura

For a field $\K$ of characteristic zero, we introduce a cohomologically symplectic poset structure ${\mathcal P}_{\K}(X)$ on a simply connected space $X$ from the viewpoint of $\K$…