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.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