CAT(0) spaces on which a certain type of singularity is bounded

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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.

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詳細情報 詳細情報について

  • CRID
    1390001205271908608
  • NII論文ID
    130004687947
  • DOI
    10.2996/kmj/1288962550
    10.48550/arxiv.1010.1963
  • ISSN
    18815472
    03865991
  • MRID
    2754329
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
    • OpenAIRE
  • 抄録ライセンスフラグ
    使用不可

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