Rchr
J-GLOBAL ID：200901092540493049
Update date: Oct. 29, 2024
FUCHINO Sakaé
フチノ サカエ | FUCHINO Sakaé
Affiliation and department：
Homepage URL (1)：
https://fuchino.ddo.jp
Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (9)：
Axiomatic Set Theory
, Model Theory in Extended Logic
, Forcing
, Large Cardinals
, Mathematical Logic
, Foundation of Mathematics
, Set-theoretic Topology
, Application of set theory to algebra
, Philosophy of Mathematics
Research theme for competitive and other funds (21)：
- 2020 - 2024 Toward a solution of the Continuum Problem from the point of view of %% set-theoretic multiverse
- 2013 - 2018 Deepening of the research in set-theoretic topology with forcing and large cardinal properties
- 2012 - 2017 Invariant structures on medium-size infinite cardinals
- 2014 - 2016 Research toward a solution of Galvin's conjecture
- 2009 - 2011 Reflection principles on stationarity and possible extensions of the axiom system of set thoery
- 2008 - 2011 Combinatorics on medium-sized infinite cardinals
- 2007 - 2011 Computational Approaches for Mathematical Sciences
- 2007 - 2009 Search of extensions of the axiom system of set-theory form a global view point
- 2006 - 2007 Ideals on P_κλ considered from the point of view of the relation with large cardinals axioms and the generalized continuum hypothesis
- 2005 - 2006 Combinatorics related to the continuum
- 2003 - 2004 Development of new iteration techniques for forcing
- 2002 - 2003 Ideals on Ρ_κλ and infinitary combinatorics related to large cardinal axiom
- 2000 - 2002 Application of Set Theory to Infinitary Combinatorics
- 2000 - 2001 Applications of forcing and large cardinal axioms to infinitary combinatorics
- 2000 - 2001 CARDINAL INVARIANTS OF THE CONTINUUM AND THEIR APPLICATIONS
- 1998 - 2000 Infinitary Combinatrics and its Applications
- 1999 - 1999 無限組合せ論とその代数トポロジー集合論における応用
- 1998 - 1999 INNER MODEL THEORY AND LARGE CARDINALS
- 1997 - 1998 Independence proof concerning compact cardinals, continuum hypotbesis, and normal ultrafilters
- Set-Theoretic Real Analysis
- Infinitary Combinatrics
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Papers (55)：
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Sakaé Fuchino. Reflection and Recurrence. Festschrift on the occasion of the 75. birthday of Professor Janos Makowsky, Birkhäuser, (to appear). 2024
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Sakaé Fuchino, Hiroshi Sakai. Maximality Principle under a Laver-generic supercompactcardinal. Rims Kôkyûroku. 2023. 2261. 23-37
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Sakaé Fuchino. On the roles of variants of Axiom of Choice in variations of Tychonoff Theorem. 2023. 2243. 84-99
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Sakaé Fuchino, and Hiroshi Sakai. Generically supercompact cardinals by forcing with chain conditions. RIMS Kôkyûroku. 2022. 2213
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Sakaé Fuchino, André Ottenbreit Maschio Rodrigues. Reflection Principles, Generic Large Cardinals, and the Continuum Problem. Springer Proceedings in Mathematics & Statistics. 2022. 369. 1-25
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MISC (49)：
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渕野 昌. 計算、証明、有限、無限. 現代思想. 2023. 51. 8. 64-82
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Sakaé Fuchino. Review of: "Nonlinearity and Illfoundedness in the Hierarchy of Large Cardinal Consistency Strength". 2023
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渕野昌. ハウスドルフの集合論と位相空間論の誕生. 数理科学. 2022. 60. 6. 7-18
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渕野昌. 論理、この厄介なもの. 現代思想. 2022. 50. 4. 214-229
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渕野昌. 集合論と圏. 現代思想. 2020. 48. 9. 83-102
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Books (10)：
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Linear Algebra in Self-confinement I
2023 ISBN:9784861137280
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Das Kontinuum: Kritische Untersuchungen Über Die Grundlagen Der Analysis
Nippon Hyoron Sha 2016
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Stetigkeit und irrationale Zahlen, Was sind und was sollen die Zahlen?
2013 ISBN:9784480095473
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Grundlagen der Mathematik
Maruzen Shuppan 2012 ISBN:9784621064054
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ゲーデルと20世紀の論理 第4巻
東京大学出版会 2007 ISBN:9784130640985
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Lectures and oral presentations (35)：
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Generic Absoluteness Revisited
(RIMS Set Theory Workshop 2024 --- Recent Developments in Axiomatic Set Theory 2024)
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Resurrection and Recurrence
(RIMS Set Theory Workshop 2023 Large Cardinals and the Continuum 2023)
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Definability of Laver-generic large cardinals and largeness of generic large cardinals with chain conditions
(New York Set Theory Seminar 2022)
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„Mengenlehre“ of Hausdorff and set-theoretic mathematics
(RIMS Symposium Study of the History of Mathematics 2022)
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On reflection, hereditarity, andabsoluteness of topological properties
(RIMS symposium Set-Theoretic and Geometric Topology, and their applications to related fields 2022)
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Education (3)：
- 1979 - 1984 Free University Berlin Department of Mathematics
- 1977 - 1979 Waseda University Department of Science and Engineering Faculty of Mathematics
- 1973 - 1977 Waseda University Department of Science and Engineering Faculty of Chemistry
Professional career (2)：
- Dr. rer. nat. (Free University Berlin (Germany))
- Diplom Mathematik (Free University Berlin (Germany))
Work history (9)：
- 2010/04 - 2020/03 Kobe University Graduate School of System Informatics Professor
- 2009/10 - 2010/03 Kobe University Graduate School of Engineering Professor
- 2001/04 - 2009/09 Chubu Univeristy Department of Science and Mathematics Professor
- 1997/04 - 2001/03 Kitami Institute of Technology Department of Computer Science Professor
- 1996 - 1997 Freie Universität Berlin Fachbereich für Mathematik und Informatik Privatdozent
- 1992 - 1996 Freie Universität Berlin Fachbereich für Mathematik und Informatik Lehrbeauftragter
- 1994 - Hebrew University Department of Mathematics Research Assistant
- 1985 - 1992 Freie Universität Berlin Fachbereich Mathematik wissenschaftlicher Mitarbeiter
- 1984 - 1985 Universität Hannover Institut für Mathematik wissenschaftlicher Angestellter
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Committee career (1)：
Association Membership(s) (4)：
European Set Theory Society
, JAPAN ASSOCIATION FOR PHILOSOPHY OF SCIENCE
, Deutsche Vereinigung für mathematische Logik und für Grundlagen-Forschung der exakten Wissenschaften
, THE MATHEMATICAL SOCIETY OF JAPAN
