Collapsing three-dimensional Alexandrov spaces with boundary

Mitsuishi, Ayato; Yamaguchi, Takao

doi:10.1090/tran/9375

Collapsing three-dimensional Alexandrov spaces with boundary
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by Ayato Mitsuishi and Takao Yamaguchi;

Trans. Amer. Math. Soc. 378 (2025), 4173-4223

DOI: https://doi.org/10.1090/tran/9375

Published electronically: March 19, 2025

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Abstract:

As a continuation of our previous work [Trans. Amer. Math. Soc. 367 (2015), pp. 2339–2410], we determine the topologies of collapsing three-dimensional compact Alexandrov spaces with nonempty boundary.

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Collapsing three-dimensional Alexandrov spaces with boundary
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Abstract: