Yorioka Teruyuki

Profile Information

Affiliation: Associate Professor, Faculty of Science - Department of Mathematics, Shizuoka University

Degree: 博士(理学)(神戸大学)

J-GLOBAL ID: 200901090944551724
researchmap Member ID: 5000103111

External link: https://wwp.shizuoka.ac.jp/yorioka/

I have got a Ph.D. degree at Kobe University supervised by Joerg Brendle and Toshiyasu Arai.

[Postal Address]
Department of Mathematics, Faculty of Science,
Shizuoka University
Ohya 836, Shizuoka, 422-8529
JAPAN

Research Areas

Research History

Apr, 2008 - Present

Associate Professor, Faculty of Science, Shizuoka University
Apr, 2006 - Mar, 2008

Lecturer, Faculty of Science, Shizuoka Univeristy

Professional Memberships

Mathematical Society of Japan

Awards

Sep, 2006

2006年度日本数学会賞建部賢弘賞奨励賞 (課題名：連続体の組合せ論的研究)

Misc.

Some infinitely generated non projective modules over path algebras and their extensions under Martin's Axiom

Ayako Itaba, Diego A. Mejia, Teruyuki Yorioka

arXiv.org, Feb, 2018
The existence of a non special Aronszajn tree and Todorcevic orderings

依岡輝幸

Surikaisekikenkyusyo Kokyuroku, 1949 89-98, May 1, 2015
Some results in the extension with a coherent Suslin tree II

宮元忠敏, 依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1851 49-61, Sep 1, 2013
Some results in the extension with a coherent Suslin tree

Dilip Raghavan, 依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1709 72-82, Apr 1, 2012
KILLING SOME S-SPACES BY A COHERENT SUSLIN TREE

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1781 66-75, Mar 1, 2012
Another c.c.c. forcing that destroys presaturation

Paul B. Larson, 依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1686 73-74, Apr 1, 2010
THE INEQUALITY $\mathfrak{b}>\aleph_1$ CAN BE CONSIDERED AS AN ANALOGUE OF SUSLIN'S HYPOTHESIS

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1595 84-88, Apr 1, 2008
DOWKER 空間の二つの構成法 : RUDIN と BALOGH の DOWKER 空間

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1530 96-102, Feb 1, 2007
$\mathbb{P}_{\rm max}^{\mathfrak{d}=\aleph_1}$ and other variations

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1471 87-101, Feb 1, 2006
$\clubsuit$ and destrcutible gaps

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1423 128-138, Apr 1, 2005
Destructible gaps に関する強制概念とその積

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1419 38-51, Feb 1, 2005
An application of proper forcings with models as side conditions

依岡輝幸

Surikaisekikenkyusho Kokyuroku, 1360 80-104, Apr 1, 2004
実数の集合論について

依岡輝幸

2003年度日本数学会秋季総合分科会数学基礎論および歴史分科会特別講演, Sep 1, 2003

Presentations

ランダム強制法による拡大モデルの中での弱い Martin’s Axiom

依岡輝幸

日本数学会 2018年度秋季総合分科会, Sep, 2018
A fragment of Aspero-Mota's Finitely Proper Forcing Axiom and an entangled set of reals

Teruyuki Yorioka

Novi Sad Conference in Set Theory and General Topology , SETTOP 2018, Jul, 2018
道多元環上のある無限生成非射影加群について

依岡輝幸, Diego A. Mejia, 板場綾子

日本数学会2018年度年会, Mar, 2018
Aronszajn 木が持つふたつの組合せ的性質の違い

依岡輝幸

日本数学会2018年度年会, Mar, 2018
Aspero-Mota’s finitely proper forcing axiom and k-entangled sets of reals

依岡輝幸

RIMS Set Theory workshop "Iterated Forcing Theory and Cardinal Invariants", Nov, 2017
Aronszajn木の組合せ論とその他のRamsey理論的な組合せ論の関係

依岡輝幸

日本数学会2017年度秋季総合分科会, Sep, 2017
Woodin の $\Pi_2$-compactness という考え方と実数の集合論

依岡輝幸

52nd MLG 数理論理学研究集会, Jan, 2017
Von Neumann の測度問題に関する CCC 強制法の性質

依岡輝幸

2016年日本数学会秋季総合分科会, Sep, 2016
Todorcevic orderings add no random reals

依岡輝幸

1st Pan Pacific International Conference on Topology and Applications, Nov, 2015 Invited
Todorcevic's fragments of Martin's Axiom and its restrictions

依岡輝幸

HIFW02: Independence Results in Mathematics and Challenges in Iterated Forcing, Nov, 2015 Invited
Some consistency results with the existence of a non special Aronszajn tree

依岡輝幸

RIMS 研究集会「公理的集合論の最近の進展」, Sep, 2015
Todorcevic's fragments of Martin's axiom and a recent result due to Bagaria and Shelah

依岡輝幸

Sets and Computations, IMS program, Singapore., Apr, 2015 Invited
Fragments of Martin's Axiom and the existence of a non-special Aronszajn tree

依岡輝幸

Winter School in Abstract Analysis 2015 section Set Theory & Topology, Feb, 2015
Todorcevic orderings add no random reals

依岡輝幸

Workshop on Mathematical Logic on the Occasion of Sakae Fuchino's 60th Birthday, Nov, 2014 Invited
On fragments of Martin’s Axiom

依岡輝幸

RIMS Set Theory Workshop 2014, Infinitary Combinatorics in Set Theory and Its Applicasions, Nov, 2014
Side condition method を用いた forcings の新しい保存定理

依岡輝幸

日本数学会2014年度年会, Mar, 2014
Side condition method for S-space problem and its preservation theorems

依岡輝幸

Axiomatic approaches to forcing techniques in set theory (13w5026), Nov, 2013 Invited
Side condition method and random reals

依岡輝幸

International Conference on Topology and Geometry, Sep, 2013 Invited
Side condition method and the preservation of a tower in $\mathcal{P}(\omega)$

依岡輝幸

RIMS 研究集会反映原理と巨大基数の集合論, Sep, 2013
Aspero-Mota iteration について

依岡輝幸

2013 年度日本数学会秋季総合分科会, Sep, 2013

Teaching Experience

Papers

Some consequences from Proper Forcing Axiom together with large continuum and the negation of Martin's Axiom

依岡輝幸

Journal of the Mathematical Society of Japan, 69(3) 913-943, Aug, 2017 Peer-reviewed
Club-Isomorphisms of Aronszajn Trees in the Extension with a Suslin Tree

Teruyuki Yorioka

NOTRE DAME JOURNAL OF FORMAL LOGIC, 58(3) 381-396, 2017 Peer-reviewed
A note on a forcing related to the S-space problem in the extension with a coherent Suslin tree

Teruyuki Yorioka

MATHEMATICAL LOGIC QUARTERLY, 61(3) 169-178, May, 2015 Peer-reviewed
Todorcevic orderings as examples of ccc forcings without adding random reals

依岡輝幸

Commentationes Mathematicae Universitatis Carolinae, 56(1) 125-132, Jan, 2015 Peer-reviewed
Keeping the covering number of the null ideal small

Teruyuki Yorioka

FUNDAMENTA MATHEMATICAE, 231(2) 139-159, 2015 Peer-reviewed
Suslin Lattices

Dilip Raghavan, Teruyuki Yorioka

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 31(1) 55-79, Mar, 2014 Peer-reviewed
Elementary submodel arguments in Balogh's Dowker spaces

大田春外, 依岡輝幸

Topology Proceedings, 40 289-296, Feb, 2012 Peer-reviewed
A non-implication between fragments of Martin's Axiom related to a property which comes from Aronszajn trees (vol 4, pg 469, 2010)

Teruyuki Yorioka

ANNALS OF PURE AND APPLIED LOGIC, 162(9) 752-754, Sep, 2011 Peer-reviewed
Uniformizing ladder system colorings and the rectangle refining property

依岡輝幸

Proc. Amer. Math. Soc., 138(8) 2961-2971, Mar, 2010 Peer-reviewed
A non-implication between fragments of Martin's Axiom related to a property which comes from Aronszajn trees

Teruyuki Yorioka

ANNALS OF PURE AND APPLIED LOGIC, 161(4) 469-487, Jan, 2010 Peer-reviewed
Forcing Axioms and Ω-logic

依岡輝幸

Journal of the Japan Association for Philosophy of Science, 36(2) 45-52, Mar, 2009 Peer-reviewed
Some weak fragments of Martin's axiom related to the rectangle refining property

Teruyuki Yorioka

ARCHIVE FOR MATHEMATICAL LOGIC, 47(1) 79-90, Jun, 2008 Peer-reviewed
Rudin's Dowker space in the extension with a Suslin tree

Teruyuki Yorioka

FUNDAMENTA MATHEMATICAE, 201(1) 53-89, 2008 Peer-reviewed
Independent families of destructible gaps

依岡輝幸

Tsukuba J. Math., 31(1) 129-141, Jan, 2007 Peer-reviewed
Combinatorial principles on $\omega_1$ cardinal invariants of the meager ideal and destructible gaps

依岡輝幸

J. Math. Soc. Japan, 57(4) 1217–1228, Oct, 2006 Peer-reviewed
P-max variations related to slaloms

T Yorioka

MATHEMATICAL LOGIC QUARTERLY, 52(2) 203-216, 2006 Peer-reviewed
The diamond principle for the uniformity of the meager ideal implies the existence of a destructible gap

T Yorioka

ARCHIVE FOR MATHEMATICAL LOGIC, 44(6) 677-683, Aug, 2005 Peer-reviewed
Distinguishing types of gaps in P(omega)/fin

T Yorioka

JOURNAL OF SYMBOLIC LOGIC, 68(4) 1261-1276, Dec, 2003 Peer-reviewed
Forcings with the countable chain condition and the covering number of the Marczewski ideal

T Yorioka

ARCHIVE FOR MATHEMATICAL LOGIC, 42(7) 695-710, Oct, 2003 Peer-reviewed
The cofinality of the strong measure zero ideal

T Yorioka

JOURNAL OF SYMBOLIC LOGIC, 67(4) 1373-1384, Dec, 2002 Peer-reviewed

Research Projects

強制公理の応用と大きい連続体濃度

基盤研究(C), Apr, 2018 - Mar, 2022
無限ラムゼイ理論と実数の組合せ論

若手研究(B), Apr, 2013 - Mar, 2017
無限集合の組合せ論と強制法理論による公理的集合論の他分野への応用

基盤研究(C), Apr, 2010 - Mar, 2013
アレフ1上の組合せ的命題の独立性と強制法理論

若手研究(B), Apr, 2007 - Mar, 2010
アレフ1上の組合せ的命題の独立性と強制法理論

若手研究(スタートアップ）, Apr, 2006

Committee Memberships

Mar, 2018 - Feb, 2019

日本数学会
Apr, 2011 - Mar, 2014

日本数学会