William Mitchell

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All published works

Action	Title	Year	Authors
+	Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals	2022	William Mitchell Abbie Natkin Paige Robertson Marika Sullivan Xuechen Yu Chenxin Zhu
+	On a Question of Hamkins and L\"owe on the modal logic of collapse forcing	2016	Mohammad Golshani William Mitchell
+	On a Question of Hamkins and Low\"e	2016	Mohammad Golshani William Mitchell
+	On a Question of Hamkins and Löwe on the modal logic of collapse forcing	2016	Mohammad Golshani William Mitchell
+	𝐼[𝜔₂] can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)	2008	William Mitchell
+	A partition theorem for a large dense linear order	2005	Mirna Džamonja Jean A. Larson William Mitchell
+	REVIEWS-The covering lemma up to a Woodin cardinal	2003	William Mitchell Ernest Schimmerling John R. Steel Itay Neeman
+ PDF Chat	A measurable cardinal with a closed unbounded set of inaccessibles from $o(\kappa )=\kappa $	2001	William Mitchell
+	Jonsson Cardinals, Erd\H{o}s Cardinals, and the Core Model	1997	William Mitchell
+	Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis	1995	Moti Gitik William Mitchell
+	The core model up to a woodin cardinal	1995	William Mitchell
+	Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis	1995	Moti Gitik William Mitchell
+	Embeddings of Iteration Trees	1992	William Mitchell
+	Prikry forcing at <i>κ</i><sup>+</sup> and beyond	1987	William Mitchell
+ PDF Chat	Applications of the covering lemma for sequences of measures	1987	William Mitchell
+ PDF Chat	Applications of the Covering Lemma for Sequences of Measures	1987	William Mitchell
+	A. Dodd and R. Jensen. The core model. Annals of mathematical logic, vol. 20 (1981), pp. 43–75. - Tony Dodd and Ronald Jensen. The covering lemma for K. Annals of mathematical logic, vol. 22 (1982), pp. 1–30. - A. J. Dodd and R. B. Jensen. The covering lemma for L[U]. Annals of mathematical logic, pp. 127–135. - D. Donder, R. B. Jensen and B. J. Koppelberg. Some applications of the core model. Set theory and model theory, Proceedings of an informal symposium held at Bonn, June 1–3, 1979, edited…	1984	William Mitchell
+	Precipitous ideals	1980	Thomas Jech Menachem Magidor William Mitchell Karel Prikry
+	On the ultrafilter of closed, unbounded sets	1979	Donald A. Martin William Mitchell
+ PDF Chat	Ramsey cardinals and constructibility	1979	William Mitchell
+	Hypermeasurable Cardinals	1979	William Mitchell
+	Aronszajn trees and the independence of the transfer property	1972	William Mitchell

Common Coauthors

Coauthor	Papers Together
Mohammad Golshani	3
Moti Gitik	2
Menachem Magidor	1
Mirna Džamonja	1
Abbie Natkin	1
Karel Prikry	1
Ernest Schimmerling	1
Itay Neeman	1
Thomas Jech	1
John R. Steel	1
Xuechen Yu	1
Donald A. Martin	1
Chenxin Zhu	1
Marika Sullivan	1
Jean A. Larson	1
Paige Robertson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The core model for sequences of measures. I	1984	William J. Mitchell	5
+	Some applications of iterated ultrapowers in set theory	1970	Kenneth Kunen	5
+	Sets constructible from sequences of ultrafilters	1974	William J. Mitchell	4
+	Fine Structure and Iteration Trees	2017	William J. Mitchell John R. Steel	3
+ PDF Chat	Changing cofinality of cardinals	1978	Menachem Magidor	3
+	The covering lemma for K	1982	Tony J. Dodd Ronald Björn Jensen	3
+	The covering lemma for L[U]	1982	A. Dodd Ronald Björn Jensen	3
+ PDF Chat	On the singular cardinal hypothesis	1992	William J. Mitchell	2
+	Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I	1988	M. Foreman M. Magidor Saharon Shelah	2
+ PDF Chat	A model in which GCH holds at successors but fails at limits	1992	James Cummings	2
+	Adding closed cofinal sequences to large cardinals	1982	Lon Berk Radin	2
+	The modal logic of forcing	2007	Joel David Hamkins Benedikt Löwe	2
+ PDF Chat	Applications of the covering lemma for sequences of measures	1987	William Mitchell	2
+	Boolean extensions and measurable cardinals	1971	Kenneth Kunen J. B. Paris	2
+	The core model	1982	A. Dodd Ronald Björn Jensen	2
+ PDF Chat	A measurable cardinal with a closed unbounded set of inaccessibles from $o(\kappa )=\kappa $	2001	William Mitchell	2
+ PDF Chat	Ramsey cardinals and constructibility	1979	William Mitchell	2
+	On the Hamkins approximation property	2006	William J. Mitchell	1
+ PDF Chat	Extensions with the approximation and cover properties have no new large cardinals	2003	Joel David Hamkins	1
+	On the structure of set-mappings	1958	Péter L. Erdős A. Hajnal	1
+	Reflecting stationary sets and successors of singular cardinals	1991	Saharon Shelah	1
+ PDF Chat	Adding Closed Unbounded Subsets of ω₂ with Finite Forcing	2005	William J. Mitchell	1
+	Adding a closed unbounded set	1976	James E. Baumgartner L. A. Harrington E. M. Kleinberg	1
+	On measurable cardinals violating the continuum hypothesis	1993	Moti Gitik	1
+ PDF Chat	On the consistency strength of the inner model hypothesis	2008	Sy‐David Friedman Philip Welch W. Hugh Woodin	1
+	Aronszajn trees and the independence of the transfer property	1972	William Mitchell	1
+ PDF Chat	A proof of projective determinacy	1989	Donald A. Martin John R. Steel	1
+	COLORING SUBGRAPHS OF THE RADO GRAPH	2006	N. Sauer	1
+	The strenght of the failure of the singular cardinal hypothesis	1991	Moti Gitik	1
+ PDF Chat	On sequences generic in the sense of Prikry	1973	A. R. D. Mathias	1
+	Sets constructed from sequences of measures: Revisited	1983	William J. Mitchell	1
+ PDF Chat	Directed sets and cofinal types	1985	Stevo Todorčević	1
+	A Gitik iteration with nearly Easton factoring	2003	William J. Mitchell	1
+	Characterization of the Club Forcing	1996	Jindřich Zapletal	1
+	A Combinatorial Theorem	1950	P. Erdős R. Rado	1
+	A New Operation on Sequences	1996	Jessica Millar N. J. A. Sloane Neal E. Young	1
+	On strong chains of uncountable functions	2000	Piotr Koszmider	1
+	Powers of regular cardinals	1970	William B. Easton	1
+	A weak variation of shelah's <i>I</i>[<i>ω</i><sub>2</sub>]	2004	William J. Mitchell	1
+	Prikry-Type Forcings	2009	Moti Gitik	1
+	Forcing closed unbounded sets	1983	Uri Abraham Saharon Shelah	1
+	Two cardinal properties of homogeneous graphs	2002	Gregory Cherlin Simon Thomas	1
+ PDF Chat	On closed unbounded sets consisting of former regulars	1999	Moti Gitik	1
+	The evolution of large cardinal axioms in set theory	1978	Aki Kanamori Menachem Magidor	1
+	Measurable Cardinals and Δ 1 3 Well-Orderings	1971	Jack H. Silver	1
+	Annals of mathematical logic	1969		1
+ PDF Chat	On the Singular Cardinal Hypothesis	1992	William J. Mitchell	1
+	On hidden extenders	1993	Moti Gitik	1
+	Adding a closed unbounded set	1976	James E. Baumgartner L. A. Harrington E. M. Kleinberg	1
+ PDF Chat	Sur un problème de Sikorski	1949	E Specker	1