Tatsuya Goto

I am a second year Ph.D. student and study set theory of reals. he/him.

Graduate School of System Informatics, Kobe University,
1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, JAPAN

E-mail: 202x603x (at) stu (dot) kobe-u (dot) ac (dot) jp

Publications

Keisler's Theorem and Cardinal Invariants to appear in The Journal of Symbolic Logic [arxiv] [doi]

Non-reviewed Publications

Goldsternの原理と大きな連続体濃度 RIMS Kôkyûroku No.2261 強制法と基数算術の新たな展開 (New Developments in Forcing and Cardinal Arithmetic)

Preprints

Game-theoretic variants of cardinal invariants (joint work with Jorge Antonio Cruz Chapital and Yusuke Hayashi) arXiv:2308.12136 [math.LO]
The comparability numbers and the incomparability numbers arXiv:2302.08040 [math.LO]
Goldstern's principle about unions of null sets arXiv:2206.08147 [math.LO]
Cardinal invariants associated with Hausdorff measures arXiv:2112.07952 [math.LO]

Slides

部分関数を全域関数で覆うことに関するEngelking-Karłowiczの定理の一般化 (Dec. 2023; 数学基礎論若手の会2023)
Games related to splitting families (Oct. 2023; RIMS Set Theory Workshop 2023)
基数不変量のゲーム理論的バリエーション (Sep. 2023; 日本数学会2023年度秋季総合分科会)
Cardinal invariants and the Borel conjecture (Apr. 2023; Kobe Logic Semniar)
比較可能性と比較不可能性が定める基数不変量 (Nov. 2022; 数学基礎論若手の会2022)
Goldstern's principle about unions of null sets (Oct. 2022; RIMS Set Theory Workshop 2022)
測度0集合の和集合に関するGoldsternの原理 (Sep. 2022; 日本数学会2022年度秋季総合分科会)
Two problems concerning Hausdorff measures and the Lebesgue measure (Jul. 2022; IMS Graduate Summer School in Logic)
濃度がアレフ1の構造に対するKeislerの同型定理について (Dec. 2021; 数学基礎論若手の会2021)
Keisler's Theorem and Cardinal Invariants (Oct. 2021; RIMS Set Theory Workshop 2021)
超冪の同型と基数不変量 (Sep. 2021; モデル理論夏の学校2021)
ハウスドルフ測度に関する基数不変量 (Mar. 2021; 数学基礎論若手の会2020年度)
非可算個の駅にとまる列車 (Nov. 2019; 筑波大学数学の会)
Vaught予想と記述集合論 (Nov. 2018; 数学基礎論若手の会2018)