James Earl Baumgartner | Academic Influence

James Earl Baumgartner's AcademicInfluence.com Rankings

James Earl Baumgartner

Philosophy

#1439

World Rank

#2617

Historical Rank

#580

USA Rank

Logic

#693

World Rank

#1203

Historical Rank

#248

USA Rank

philosophy Degrees

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Philosophy

James Earl Baumgartner's Degrees

PhD Mathematics University of California, Berkeley

Why Is James Earl Baumgartner Influential?

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According to Wikipedia, James Earl Baumgartner was an American mathematician who worked in set theory, mathematical logic and foundations, and topology. Baumgartner was born in Wichita, Kansas, began his undergraduate study at the California Institute of Technology in 1960, then transferred to the University of California, Berkeley, from which he received his PhD in 1970 from for a dissertation titled Results and Independence Proofs in Combinatorial Set Theory. His advisor was Robert Vaught. He became a professor at Dartmouth College in 1969, and spent his entire career there.

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James Earl Baumgartner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Applications of the Proper Forcing Axiom (1984) (246)
Almost disjoint sets, the dense set problem and the partition calculus (1976) (166)
Iterated perfect-set forcing (1979) (148)
A new class of order types (1976) (123)
Αll $ℵ_1$-dense sets of reals can be isomorphic (1973) (114)
A Short Proof of Hindman's Theorem (1974) (97)
Adjoining dominating functions (1985) (93)
Remarks on superatomic boolean algebras (1987) (93)
Embedding trees in the rationals. (1970) (87)
Ineffability Properties of Cardinals II (1977) (84)
Surveys in set theory: ITERATED FORCING (1983) (73)
A proof (involving Martin's axiom) of a partition relation (1973) (70)
Adding a closed unbounded set (1976) (70)
Saturation properties of ideals in generic extensions. I (1982) (68)
Partition theorems and ultrafilters (1978) (61)
On splitting stationary subsets of large cardinals (1977) (57)
Structural properties of ideals (1982) (51)
Sacks forcing and the total failure of Martin's Axiom (1985) (47)
Ultrafilters on ω (1995) (45)
Retinoic acid induces REST degradation and neuronal differentiation by modulating the expression of SCFβ‐TRCP in neuroblastoma cells (2011) (41)
On the Size of Closed Unbounded Sets (1991) (40)
Boolean algebras in which every chain and antichain is countable (1981) (32)
Results and independence proofs in combinatorial set theory (1970) (30)
Partition relations for countable topological spaces (1986) (28)
Partition algebras for almost-disjoint families (1982) (27)
Canonical Partition Relations (1975) (26)
Order Types of Real Numbers and Other Uncountable Orderings (1982) (25)
The Hanf number for complete Lω1,ω-sentences (without GCH) (1974) (24)
SATURATION PROPERTIES OF IDEALS IN GENERIC EXTENSIONS (2010) (23)
Chains and antichains in (1980) (20)
On a theorem of silver (1976) (19)
Partition relations for uncountable ordinals (1975) (17)
Independence and consistency proofs in quadratic form theory (1991) (16)
Extensions of the Erdős—Rado Theorem (1993) (16)
Generic graph construction (1984) (15)
Singular Cardinals and the Generalized Continuum Hypothesis (1977) (15)
Organization of the chloroplast ribosomal RNA genes of Euglena gracilis bacillaris (2004) (14)
Polarized partition relations (2001) (14)
Axiomatic Set Theory (1984) (14)
Partitioning Vector Spaces (1975) (12)
Embedding of Boolean algebras in Ρ(ω)/fin (1990) (12)
Remarks on partition ordinals (1989) (11)
A Diamond Example of an Ordinal Graph with No Infinite Paths (1990) (11)
On Cardinal Invariants of the Continuum. Axiomatic Set Theory (2005) (10)
Generalized erdoös cardinals and O4 (1978) (10)
Chains and Antichains in $\mathscr{P}(\omega)$ (1980) (10)
Review: Kenneth Kunen, Set Theory. An Introduction to Independence Proofs (1986) (10)
Review: J. W. Addison, Yiannis N. Moschovakis, Some Consequences of the Axiom of Definable Determinateness; Donald A. Martin, The Axiom of Determinateness and Reduction Principles in the Analytical Hierarchy (1973) (9)
Improvement of a Partition Theorem of Erdös and Rado (1974) (9)
Strong realcompactness and weakly measurable cardinals (1990) (9)
In Memoriam: Paul Erdős 1913–1996 (1997) (7)
The Spectrum of the Γ-Invariant of a Bilinear Space☆ (1997) (7)
Polarized Partition Relations and Almost-Disjoint Functions (1989) (6)
Maximal Subsets of Infinite Symmetric Groups (1992) (6)
Retinoic Acid Induces REST Degradation and Neuronal Differentiation by Modulating the (2011) (5)
Ideals on uncountable cardinals (1978) (5)
Hajnal's contributions to combinatorial set theory and the partition calculus (1999) (5)
Ultrafilters on omega (1993) (5)
Review: E. M. Kleinberg, Strong Partition Properties for Infinite Cardinals (1975) (4)
Cross-cuts in the power set of an infinite set (1984) (4)
National guide to funding for libraries and information services (1995) (3)
The Future of Modern Set Theory (1994) (3)
Review: Saharon Shelah, Lee Stanley, A Theorem and Some Consistency Results in Partition Calculus (1990) (3)
A Tribute to Paul Erdős: Is there a different proof of the Erdős-Rado theorem? (1990) (3)
Review: W. W. Comfort and S. Negrepontis, Chain conditions in topology (1985) (2)
Colorful Partitions of Cardinal Numbers (1979) (2)
Review: Solomon Feferman, J. W. Addison, Leon Henkin, Alfred Tarski, Some Applications of the Notions of Forcing and Generic Sets (Summary); Solomon Feferman, Some Applications of the Notions of Forcing and Generic Sets (1972) (2)
Infinite subscripts from infinite exponents (1984) (1)
Chains and Antichains in P(omega) (1980) (1)
The Dimension of a Really Big Space: 10468 (1998) (1)
Review: E. M. Kleinberg, R. A. Shore, On Large Cardinals and Partition Relations (1975) (1)
Book Review: Cardinal arithmetic (1996) (0)
E. M. Kleinberg The independence of Ramsey's theorem. The journal of symbolic logic , vol. 34 (1969), pp. 205–206. (1975) (0)
JSL volume 50 issue 4 Cover and Back matter and Errata (1985) (0)
REVIEWS-Two papers (2000) (0)
Kenneth Kunen. Set theory. An introduction to independence proofs. Studies in logic and the foundations of mathematics, vol. 102. North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1980, xvi + 313 pp. (1986) (0)
Book Review: Combinatorial set theory (1979) (0)
Extensions of the Erd˝ Os-rado Theorem (1993) (0)
REVIEWS-On the size of closed unbounded sets (2001) (0)
Review: Azriel Levy, Basic set theory (1980) (0)
JSL volume 49 issue 4 Cover and Back matter and Errata (1984) (0)
Shelah Saharon and Stanley Lee. A theorem and some consistency results in partition calculus. Annals of pure applied logic, vol. 36 (1987), pp. 119–152. (1990) (0)
Review: E. M. Kleinberg, The Independence of Ramsey's Theorem (1975) (0)
Review: Thomas Jech, Multiple forcing (1989) (0)
Kleinberg E. M.. Strong partition properties for infinite cardinals. The journal of symbolic logic, vol. 35 (1970), pp. 410–428. (1975) (0)
Review: J. L. Bell, Boolean-Valued Models and Independence Proofs in Set Theory; Dana Scott, Foreword (1986) (0)
Review: Neil H. Williams, Combinatorial set theory (1979) (0)
Popular Lectures on Mathematical Logic. By Wang Hao (1984) (0)
Extensions of the Erd\H{o}s-Rado Theorem (1993) (0)
Review: Kenneth Kunen, Elementary Embeddings and Infinitary Combinatorics (1974) (0)
E. M. Kleinberg and R. A. Shore. On large cardinals and partition relations. The journal of symbolic logic , vol. 36 (1971), pp. 305–308. (1975) (0)

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