抄録
In this paper, we will consider a family $\mathcal{Y}$ of complete CAT(0) spaces such that the tangent cone TCp Y at each point p ∈ Y of each Y ∈ $\mathcal{Y}$ is isometric to a (finite or infinite) product of the Euclidean cones Cone(Xα) over elements Xα of some Gromov-Hausdorff precompact family {Xα} of CAT(1) spaces. Each element of such $\mathcal{Y}$ is a space presented by Gromov [4] as an example of a "CAT(0) space with "bounded" singularities". We will show that the Izeki-Nayatani invariants of spaces in such a family are uniformly bounded from above by a constant strictly less than 1.
