Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

Ayato Mitsuishi; Takao Yamaguchi; Takao Yamaguchi

doi:10.1090/s0002-9947-2014-06091-1

Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

Ayato Mitsuishi, Takao Yamaguchi, Takao Yamaguchi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In the present paper, we determine the topologies of three-dimensional closed Alexandrov spaces which converge to lower dimensional spaces in the Gromov-Hausdorff topology.

Original language	English
Pages (from-to)	2339-2410
Number of pages	72
Journal	Transactions of the American Mathematical Society
Volume	367
Issue number	4
DOIs	https://doi.org/10.1090/s0002-9947-2014-06091-1
Publication status	Published - 2015 Apr 1

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound",

abstract = "In the present paper, we determine the topologies of three-dimensional closed Alexandrov spaces which converge to lower dimensional spaces in the Gromov-Hausdorff topology.",

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Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

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