Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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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

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.
References
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Bibliographic Information
  • Ayato Mitsuishi
  • Affiliation: Department of Applied Mathematics, Fukuoka University, Jyonan-ku, Fukuoka, Fukuoka 814–0180, Japan
  • MR Author ID: 891109
  • ORCID: 0009-0002-8144-8829
  • Email: mitsuishi@fukuoka-u.ac.jp
  • Takao Yamaguchi
  • Affiliation: Department of mathematics, Kyoto University, Kitashirakawa, Kyoto 606–8502, Japan
  • Address at time of publication: Department of Mathematics, University of Tsukuba, Tsukuba 305-8571, Japan
  • MR Author ID: 211118
  • Email: takao@math.tsukuba.ac.jp
  • Received by editor(s): January 20, 2024
  • Received by editor(s) in revised form: November 10, 2024
  • Published electronically: March 19, 2025
  • Additional Notes: This work was supported by JSPS KAKENHI Grant Numbers 17H01091, 18H01118, 15H05739, 26287010
  • © Copyright 2025 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 378 (2025), 4173-4223
  • MSC (2020): Primary 53C20, 53C23
  • DOI: https://doi.org/10.1090/tran/9375