Sakaé Fuchino

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Reflection and Recurrence	2024	Sakaé Fuchino
+ PDF Chat	On Recurrence Axioms	2024	Sakaé Fuchino Toshimichi Usuba
+	Maximality Principles and Ressurection Axioms under a Laver-generic large cardinal	2023	Sakaé Fuchino
+	Generically supercompact cardinals by forcing with chain conditions	2022	Sakaé Fuchino Hiroshi Sakai
+	Weakly extendible cardinals and compactness of extended logics	2022	Sakaé Fuchino Hiroshi Sakai
+ PDF Chat	Strong downward Löwenheim–Skolem theorems for stationary logics, II: reflection down to the continuum	2021	Sakaé Fuchino André Ottenbreit Maschio Rodrigues Hiroshi Sakai
+	The first-order definability of generic large cardinals	2021	Sakaé Fuchino Hiroshi Sakai
+	Strong downward Löwenheim-Skolem theorems for stationary logics, III -- mixed support iteration	2021	Sakaé Fuchino André Ottenbreit Maschio Rodrigue Hiroshi Sakai
+ PDF Chat	Reflection Principles, Generic Large Cardinals, and the Continuum Problem	2021	Sakaé Fuchino André Ottenbreit Maschio Rodrigues
+	Reflection principles, generic large cardinals, and the Continuum Problem	2020	Sakaé Fuchino André Ottenbreit Maschio Rodrigues
+	On geometrical characterizations of $\mathbb R$-linear mappings	2020	Sakaé Fuchino
+	Strong downward Löwenheim–Skolem theorems for stationary logics, I	2020	Sakaé Fuchino André Ottenbreit Maschio Rodrigues Hiroshi Sakai
+	Strong downward Löwenheim-Skolem theorems for stationary logics, II -- reflection down to the continuum	2020	Sakaé Fuchino André Ottenbreit Maschio Rodrigues Hiroshi Sakai
+	On geometrical characterizations of $\mathbb R$-linear mappings	2020	Sakaé Fuchino
+	Reflection principles, generic large cardinals, and the Continuum Problem	2020	Sakaé Fuchino André Ottenbreit Maschio Rodrigues
+ PDF Chat	Mathematics and Set Theory:	2018	Sakaé Fuchino
+	On the Set-Generic Multiverse	2017	Sy‐David Friedman Sakaé Fuchino Hiroshi Sakai
+	On some downward transfer properties in Foreman-Laver model (Infinite Combinatorics and Forcing Theory)	2017	Sakaé Fuchino André Maschio Rodrigues Ottenbreit Hiroshi Sakai
+	ON THE SET-GENERIC MULTIVERSE	2017	Sy‐David Friedman Sakaé Fuchino Hiroshi Sakai
+ PDF Chat	A Reflection Principle As a Reverse-mathematical Fixed Point over the Base Theory ZFC	2017	Sakaé Fuchino
+	Pre-Hilbert spaces without orthonormal bases	2016	Sakaé Fuchino
+	On the set-generic multiverse	2016	Sy D. Friedman Sakaé Fuchino Hiroshi Sakai
+	A reflection principle formulated in terms of games (Reflection principles and set theory of large cardinals)	2014	Sakaé Fuchino Toshimichi Usuba
+	Topological Reflection Theorems (General and Geometric Topology today and their problems)	2013	Sakaé Fuchino
+	The Set-theoretic multiverse as a mathematical plenitudinous Platonism viewpoint y	2012	Sakaé Fuchino
+ PDF Chat	Preface to the Special Section : Infinity in Philosophy and Mathematics	2012	Sakaé Fuchino
+	More about the Fodor-type reflection principle	2012	Sakaé Fuchino Hiroshi Sakai Lajos Soukup Toshimichi Usuba
+	Remarks on the coloring number of graphs (Interplay between large cardinals and small cardinals)	2011	Sakaé Fuchino
+ PDF Chat	Openly generated Boolean algebras and the Fodor-type reflection principle	2011	Sakaé Fuchino Assaf Rinot
+	Fodor-type Reflection Principle and Balogh's reflection theorems (Combinatorial set theory and forcing theory)	2010	Sakaé Fuchino
+ PDF Chat	Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness	2009	Sakaé Fuchino István Juhász Lajos Soukup Zoltán Szentmiklóssy Toshimichi Usuba
+ PDF Chat	Coloring ordinals by reals	2007	Jörg Brendle Sakaé Fuchino
+	Coloring ordinals by reals	2007	Jörg Brendle Sakaé Fuchino
+	Almost disjoint families on large underlying sets	2007	Sakaé Fuchino Stefan Geschke Lajos Soukup
+	Models of real-valued measurability	2006	Sakaé Fuchino Noam Greenberg Saharon Shelah
+	Models of real-valued measurability	2006	Sakaé Fuchino Noam Greenberg Saharon Shelah
+	How to drive our families mad	2006	Sakaé Fuchino Stefan Geschke Osvaldo Guzmán Lajos Soukup
+	in light of the Tukey ordering	2006	Sakaé Fuchino Masayuki Karato Hiroshi Sakai
+	Models of real-valued measurability	2006	Sakaé Fuchino Noam Greenberg Saharon Shelah
+	Destructibility of stationary subsets ofPκλ	2005	Sakaé Fuchino Greg Piper
+	PRINC$(\kappa, \lambda)$, $C^s(\kappa)$, HP$(\kappa)$ etc. and variants of the bounding number (Forcing Method and Large Cardinal Axioms)	2005	Sakaé Fuchino
+ PDF Chat	Some combinatorial principles defined in terms of elementary submodels	2004	Sakaé Fuchino Stefan Geschke
+	Remarks on a paper by Juh\'asz and Kunen	2003	Sakaé Fuchino Stefan Geschke
+	Remarks on a paper by Juhász and Kunen	2003	Sakaé Fuchino Stefan Geschke
+	On the weak Freese–Nation property of ?(ω)	2001	Sakaé Fuchino Stefan Geschke Lajos Soukupe
+	On the weak Freese-Nation property of complete Boolean algebras	2001	Sakaé Fuchino Stefan Geschke Saharon Shelah Lajos Soukup
+ PDF Chat	On a theorem of E. Helly	1999	Sakaé Fuchino Szymon Plewik
+	On absolutely divergent series	1999	Sakaé Fuchino Heike Mildenberger Saharon Shelah Peter Vojtáš
+	On the weak Freese-Nation property of complete Boolean algebras	1999	Sakaé Fuchino Stefan Geschke Saharon Shelah Lajos Soukup
+	On absolutely divergent series	1999	Sakaé Fuchino Heike Mildenberger Saharon Shelah Peter Vojtáš
+	Sticks and clubs	1998	Sakaé Fuchino Saharon Shelah Lajos Soukup
+	Sticks and clubs	1998	Sakaé Fuchino Saharon Shelah Lajos Soukup
+	Sticks and clubs	1997	Sakaé Fuchino Saharon Shelah Lajos Soukup
+ PDF Chat	More set-theory around the weak Freese–Nation property	1997	Sakaé Fuchino Lajos Soukup
+	A game on partial orderings	1996	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	Partial orderings with the weak Freese-Nation property	1996	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	More Set-theory around the weak Freese-Nation property	1996	Sakaé Fuchino Lajos Soukup
+	Partial orderings with the weak Freese-Nation property	1995	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	A game on partial orderings	1995	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	A game on partial orderings	1995	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	Partial orderings with the weak Freese-Nation property	1995	Sakaé Fuchino Sabine Koppelberg Saharon Shelah
+	On a theorem of Shapiro	1994	Sakaé Fuchino Saharon Shelah Lajos Soukup
+	Some remarks on openly generated Boolean algebras	1994	Sakaé Fuchino
+	Weakly projective and regularly filtered algebras	1994	Lutz Heindorf Sakaé Fuchino Leonid B. Shapiro
+	The twisted embedding and its applications	1994	Lutz Heindorf Sakaé Fuchino Leonid B. Shapiro
+	Functors	1994	Lutz Heindorf Sakaé Fuchino Leonid B. Shapiro
+	On a theorem of Shapiro	1994	Sakaé Fuchino Saharon Shelah Lajos Soukup
+	Some problems of ˇ Scepin on openly generated Boolean algebras	1993	Sakaé Fuchino
+ PDF Chat	On the simplicity of the automorphism group ofP(ω)/fin	1992	Sakaé Fuchino
+	On L∞κ-free Boolean algebras	1992	Sakaé Fuchino Sabine Koppelberg Makoto Takahashi
+ PDF Chat	On the categoricity theorem in $L_{\omega 1 \omega}$	1986	Sakaé Fuchino

Common Coauthors

Coauthor	Papers Together
Saharon Shelah	18
Lajos Soukup	13
Hiroshi Sakai	10
Stefan Geschke	8
Sabine Koppelberg	7
André Ottenbreit Maschio Rodrigues	6
Toshimichi Usuba	4
Lutz Heindorf	3
Noam Greenberg	3
Leonid B. Shapiro	3
Peter Vojtáš	2
Heike Mildenberger	2
Jörg Brendle	2
Sy‐David Friedman	2
Hiroshi Sakai	2
Sy D. Friedman	1
Masayuki Karato	1
Greg Piper	1
Hiroshi Sakai	1
Zoltán Szentmiklóssy	1
André Maschio Rodrigues Ottenbreit	1
Lajos Soukupe	1
Szymon Plewik	1
André Ottenbreit Maschio Rodrigue	1
Assaf Rinot	1
Makoto Takahashi	1
István Juhász	1
Osvaldo Guzmán	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Partial orderings with the weak Freese-Nation property	1996	Sakaé Fuchino Sabine Koppelberg Saharon Shelah	10
+ PDF Chat	More set-theory around the weak Freese–Nation property	1997	Sakaé Fuchino Lajos Soukup	9
+	Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I	1988	M. Foreman M. Magidor Saharon Shelah	8
+ PDF Chat	Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness	2009	Sakaé Fuchino István Juhász Lajos Soukup Zoltán Szentmiklóssy Toshimichi Usuba	7
+	Set Theory An Introduction to Independence Proofs	1980	Kenneth Kunen	7
+ PDF Chat	The diagonal reflection principle	2011	Sean Cox	6
+	Generic compactness reformulated	2004	Bernhard K�nig	5
+ PDF Chat	Openly generated Boolean algebras and the Fodor-type reflection principle	2011	Sakaé Fuchino Assaf Rinot	5
+	Strong analogues of Martin's axiom Imply Axiom R	1987	Robert E. Beaudoin	5
+	On the weak Freese–Nation property of ?(ω)	2001	Sakaé Fuchino Stefan Geschke Lajos Soukupe	5
+	On the weak Freese-Nation property of complete Boolean algebras	2001	Sakaé Fuchino Stefan Geschke Saharon Shelah Lajos Soukup	4
+	New proofs of the consistency of the normal moore space conjecture I	1990	Alan Dow Franklin D. Tall William Weiss	4
+	SQUARES, SCALES AND STATIONARY REFLECTION	2001	James Cummings Matthew Foreman Menachem Magidor	4
+	A very weak square principle	1997	Matthew Foreman Menachem Magidor	4
+ PDF Chat	Left Separated Spaces With Point-Countable Bases	1986	William G. Fleissner	4
+	On L∞κ-free Boolean algebras	1992	Sakaé Fuchino Sabine Koppelberg Makoto Takahashi	4
+ PDF Chat	The power set of ω Elementary submodels and weakenings of CH	2001	István Juhász Kenneth Kunen	4
+ PDF Chat	Laver sequences for extendible and super-almost-huge cardinals	1999	Paul Corazza	4
+	Some remarks on openly generated Boolean algebras	1994	Sakaé Fuchino	3
+	A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals	1975	Saharon Shelah	3
+	More about the Fodor-type reflection principle	2012	Sakaé Fuchino Hiroshi Sakai Lajos Soukup Toshimichi Usuba	3
+	On Countably Compact, Perfectly Normal Spaces	1976	A. J. Ostaszewski	3
+	Conjectures of Rado and Chang and Cardinal Arithmetic	1993	Stevo Todorčević	3
+ PDF Chat	Applications of another characterization of βN⧹N	2002	Alan Dow Klaas Pieter Hart	3
+	Fragments of Martin's Maximum in generic extensions	2004	Bernhard König Yasuo Yoshinobu	3
+	Functors and uncountable powers of compacta	1981	E. V. Shchepin	3
+	In singular cardinality, locally free algebras are free	1981	Wilfrid Hodges	3
+ PDF Chat	Combinatorial Principles from Adding Cohen Reals	1998	István Juhász Lajos Soukup Zoltán Szentmiklóssy	3
+	A Model of Set-Theory in Which Every Set of Reals is Lebesgue Measurable	1970	Robert M Solovay	2
+ PDF Chat	Combinatorial Principles from Adding Cohen Reals	2017	Istvan Juhász Lajos Soukup Zoltán Szentmiklóssy	2
+ PDF Chat	More on real-valued measurable cardinals and forcing with ideals	2001	Moti Gitik Saharon Shelah	2
+ PDF Chat	Reflection implies the SCH	2008	Saharon Shelah	2
+	A new Löwenheim-Skolem theorem	2004	Matthew Foreman Stevo Todorčević	2
+	Advances in Cardinal Arithmetic	1993	Saharon Shelah	2
+	Cardinal invariants about shrinkability of unbounded sets	1996	Masaru Kada Yoshifumi Yuasa	2
+ PDF Chat	Semistationary and stationary reflection	2008	Hiroshi Sakai	2
+ PDF Chat	The tightness about sequential fans and combinatorial properties	1997	Katsuya Eda Masaru Kada Yoshifumi Yuasa	2
+	A game on partial orderings	1996	Sakaé Fuchino Sabine Koppelberg Saharon Shelah	2
+ PDF Chat	More on cardinal arithmetic	1993	Saharon Shelah	2
+	Sticks and clubs	1997	Sakaé Fuchino Saharon Shelah Lajos Soukup	2
+	Can you take Solovay’s inaccessible away?	1984	Saharon Shelah	2
+	Mob families and mad families	1998	Jörg Brendle	2
+ PDF Chat	Zur Masstheorie in der allgemeinen Mengenlehre	1930	Stanislaw M. Ulam	2
+	Foundational implications of the Inner Model Hypothesis	2012	Tatiana Arrigoni Sy‐David Friedman	2
+	Local Clubs, Reflection, and Preserving Stationary Sets	1989	Feng Qi Thomas Jech	2
+ PDF Chat	Saturation properties of ideals in generic extensions. I	1982	James E. Baumgartner Alan D. Taylor	2
+ PDF Chat	Additivity of measure implies additivity of category	1984	Tomek Bartoszyński	2
+ PDF Chat	Ideals and powers of cardinals	1975	Karel Prikry	2
+	Directive trees and games on posets	2001	Tetsuya Ishiu Yasuo Yoshinobu	2
+	Some applications of model theory in set theory	1966	Jack H. Silver	2