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J-GLOBAL ID：201101057245526642   Update date: Apr. 10, 2024

Usuba Toshimichi

ウスバ トシミチ | Usuba Toshimichi
Affiliation and department：
Waseda University School of Fundamental Science and Engineering

About Waseda University School of Fundamental Science and Engineering


Research field  (4)： Applied mathematics and statistics ,  Basic mathematics ,  Applied mathematics and statistics ,  Basic mathematics
Research keywords  (11)： Axiom of Choice ,  集合論的位相空間論 ,  一般位相空間論 ,  large cardinal axioms ,  Set theory ,  forcing ,  集合論 ,  巨大基数 ,  数学基礎論 ,  公理的集合論 ,  巨大基数公理
Research theme for competitive and other funds  (12)：
  • 2018 - 2021 Set theoretic multiverse and large cardinal axioms
  • 2018 - 2021 Pκλ上のイデアルの構造的性質と無限組合せ論
  • 2015 - 2018 Structural properties of ideals over Pk\lambda
  • 2015 - 2018 On combinatiral problems using P_kappa lambda structures
  • 2013 - 2018 Deepening of the research in set-theoretic topology with forcing and large cardinal properties
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Papers (35)：
  • Toshimichi Usuba. The list-chromatic number and the coloring number of uncountable graphs. Israel Journal of Mathematics. 2023
  • Nobuyuki Kemoto, Toshimichi Usuba. C⁎-embedding and P-embedding in subspaces of products of ordinals. Topology and its Applications. 2022. 318
  • Yasushi Hirata, Toshimichi Usuba, Yukinobu Yajima. Equalities for the extent of infinite products and Σ-products. Topology and its Applications. 2022. 307
  • Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba. Strongly compact cardinals and the continuum function. Annals of Pure and Applied Logic. 2021. 172. 9. 103013-103013
  • Toshimichi Usuba. A note on δ-strongly compact cardinals. Topology and its Applications. 2021. 301. 107538-107538
ｍore...
MISC (19)：
  • 薄葉 季路. 連続関数環のLOWENHEIM-SKOLEM-TARSKIの性質-数理論理学とその応用. 数理解析研究所講究録. 2022. 2233. 82-104
  • 薄葉 季路. 無限積空間とΣ-積空間における基数関数extentの等式について. 数理解析研究所講究録. 2022. 2209. 64-74
  • Toshimichi Usuba. A note on Löwenheim-Skolem cardinals. 2020. 2164. 149-160
  • 薄葉 季路. コンパクト : 有限と無限の橋渡し (特集 私が惹かれるこの概念). 数学セミナー. 2019. 58. 12. 22-24
  • Usuba Toshimichi. NOTES ON $G_{kappa}$-SUBSETS OF COMPACT-LIKE SPACES (Advances in General Topology and their Problems). 2019. 2110. 105-109
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Books (1)：
  • 数学における証明と真理: 様相論理と数学基礎論
    共立出版 2016 ISBN:4320111486
Lectures and oral presentations  (46)：
  • Uniform ultrafilters in a choiceless context
    (2024)
  • 空集合について
    (第9回山陰数学と基礎論研究集会 2024)
  • Monotonicity of the ultra lter number
    (Large cardinals and the continuum 2023)
  • Los's theorem without the axiom of choice
    (2023)
  • C∗-embedding and P-embedding in subspaces of products of ordinals
    (2023)
ｍore...
Professional career (1)：
  • Ph. D. (Nagoya University)
Work history (7)：
  • 2021/04 - 現在 Waseda University, School of Fundamental Science and Engineering
  • 2016/04 - 2021/03 Waseda University School of Fundamental Science and Engineering Associate Professor
  • 2013/04 - 2016/03 Kobe University
  • 2010/09 - 2013/03 Nagoya University Nagoya University
  • 2009/05 - 2010/08 University of Bonn Hausdorff Center for Mathematics Post-Doc Researcher
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Awards (1)：
  • 2014/09 - 2014年度日本数学会賞建部賢弘賞
Association Membership(s) (4)：
JAPAN ASSOCIATION FOR PHILOSOPHY OF SCIENCE ,  European Set Theory Society ,  Association for Symbolic Logic ,  THE MATHEMATICAL SOCIETY OF JAPAN
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