James Earl Baumgartner

James Earl Baumgartner
James Baumgartner in 1975
Born(1943-03-23)March 23, 1943
Wichita, Kansas
DiedDecember 28, 2011(2011-12-28) (aged 68)
Hanover, New Hampshire
NationalityAmerican
Alma materUniversity of California, Berkeley
Scientific career
FieldsMathematics
InstitutionsDartmouth College
Doctoral advisorRobert Lawson Vaught
Doctoral studentsJean Larson
Alan D. Taylor
Stanley Wagon

James Earl Baumgartner (March 23, 1943 – December 28, 2011) was an American mathematician who worked in set theory, mathematical logic and foundations, and topology.[1]

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.[2] He became a professor at Dartmouth College in 1969, and spent his entire career there.

One of Baumgartner's results is the consistency of the statement that any two -dense sets of reals are order isomorphic (a set of reals is -dense if it has exactly points in every open interval). With András Hajnal he proved the Baumgartner–Hajnal theorem, which states that the partition relation holds for and . He died in 2011 of a heart attack at his home in Hanover, New Hampshire.[1][3]

The mathematical context in which Baumgartner worked spans Suslin's problem, Ramsey theory, uncountable order types, disjoint refinements, almost disjoint families, cardinal arithmetics, filters, ideals, and partition relations, iterated forcing and Axiom A, proper forcing and the proper forcing axiom, chromatic number of graphs, a thin very-tall superatomic Boolean algebra, closed unbounded sets, and partition relations.[4]

See also

Selected publications

  • Baumgartner, James E., A new class of order types, Annals of Mathematical Logic, 9:187–222, 1976
  • Baumgartner, James E., Ineffability properties of cardinals I, Infinite and Finite Sets, Keszthely (Hungary) 1973, volume 10 of Colloquia Mathematica Societatis János Bolyai, pages 109–130. North-Holland, 1975
  • Baumgartner, James E.; Harrington, Leo; Kleinberg, Eugene, Adding a closed unbounded set, Journal of Symbolic Logic, 41(2):481–482, 1976
  • Baumgartner, James E., Ineffability properties of cardinals II, Robert E. Butts and Jaakko Hintikka, editors, Logic, Foundations of Mathematics and Computability Theory, pages 87–106. Reidel, 1977
  • Baumgartner, James E.; Galvin, Fred, Generalized Erdős cardinals and 0#, Annals of Mathematical Logic 15, 289–313, 1978
  • Baumgartner, James E.; Erdős, Paul; Galvin, Fred; Larson, J., Colorful partitions of cardinal numbers, Can. J. Math. 31, 524–541, 1979
  • Baumgartner, James E.; Erdős, Paul; Higgs, D., Cross-cuts in the power set of an infinite set, Order 1, 139–145, 1984
  • Baumgartner, James E. (Editor), Axiomatic Set Theory (Contemporary Mathematics, Volume 31), 1990

References

  1. ^ a b "James E. Baumgartner Obituary". Rand-wilson.com. Archived from the original on 2019-12-05. Retrieved 2012-01-06.
  2. ^ James Earl Baumgartner at the Mathematics Genealogy Project
  3. ^ "Valley News obituary". Archived from the original on 2012-01-27.
  4. ^ Jean A. Larson: In memoriam: James Earl Baumgartner (1943-2011)

Read other articles:

Agnieszka Babenberg

Agnieszka BabenbergPermaisuri PolandiaBerkuasa1138–1146PendahuluSalomea dari BergPenerusViacheslava dari NovgorodAdipati SilesiaBerkuasa1138–1146Pendahulupenciptaan baruPenerusViacheslava dari NovgorodInformasi pribadiKelahiranskt. 1108/1113Kematian24/25 Januari 1163Altenburg, Kekaisaran Romawi SuciPemakamanBiara PfortaWangsaWangsa Babenberg (melalui kelahiran)Wangsa Piast (melalui pernikahan)AyahLuitpold III dari AustriaIbuAgnes dari JermanPasanganWładysław II WygnaniecAnakBolesław I ...

 

Angkatan Pertahanan Irlandia

Angkatan Pertahanan (Irlandia: Fórsaí Cosanta,  secara resmi disebut Óglaigh na hÉireann) adalah angkatan bersenjata Irlandia. Mereka mencakup Angkatan Darat, Korps Udara, Angkatan Laut, dan Pasukan Pertahanan Cadangan.[1]Angkatan Pertahanan IrlandiaFórsaí CosantaÓglaigh na hÉireannLambang Angkatan Pertahanan IrlandiaDidirikanFebruari 1922Formasi terkini1 Oktober 1924Angkatan  Angkatan Darat Irlandia Korps Udara Irlandia  Angkatan Laut Irlandia Pasukan Pertahana...

 

Dolok Masihul, Serdang Bedagai

Dolok MasihulKecamatanDolok MasihulPeta lokasi Kecamatan Dolok MasihulTampilkan peta IndonesiaDolok MasihulDolok Masihul (Indonesia)Tampilkan peta IndonesiaKoordinat: 3°20′03″N 99°00′39″E / 3.334108°N 99.010884°E / 3.334108; 99.010884Negara IndonesiaProvinsiSumatera UtaraKabupatenSerdang BedagaiPemerintahan • CamatElmiyati, S.AP.[1]Populasi (2021)[2] • Total54.909 jiwa • Kepadatan238/km2 (620/sq&...

The Trawlerman's Song

2005 EP by Mark KnopflerThe Trawlerman's SongEP by Mark KnopflerReleased26 April 2005 (2005-04-26)RecordedShangri-La Studios, Malibu,February 2004GenreRoots rock, folk rockLength27:11LabelMercuryProducerMark Knopfler, Chuck AinlayMark Knopfler chronology Shangri-La(2004) The Trawlerman's Song(2005) One Take Radio Sessions(2005) The Trawlerman's Song is an EP by British singer-songwriter and guitarist Mark Knopfler, released on 26 April 2005 by Mercury Records.[1]...

 

WOLO-TV

ABC affiliate in Columbia, South Carolina Not to be confused with KOLO-TV. WOLO-TVColumbia, South CarolinaUnited StatesChannelsDigital: 7 (VHF)Virtual: 25BrandingABC ColumbiaProgrammingAffiliations25.1: ABCfor others, see § SubchannelsOwnershipOwnerBahakel Communications(South Carolina Broadcasting Partners)HistoryFirst air dateOctober 1, 1961(62 years ago) (1961-10-01)Former call signsWCCA-TV (1961–1964)Former channel number(s)Analog: 25 (UHF, 1961–2009)Digital: 8 (VHF, 2...

 

Expo 2017

International exposition in Kazakhstan This article is about the international exposition. For the Canadian non-profit organization, see Expo 17. This article uses bare URLs, which are uninformative and vulnerable to link rot. Please consider converting them to full citations to ensure the article remains verifiable and maintains a consistent citation style. Several templates and tools are available to assist in formatting, such as reFill (documentation) and Citation bot (documentation). (Aug...

Taman Nasional Pegunungan Rwenzori

Taman Nasional Pegunungan RwenzoriIUCN Kategori II (Taman Nasional)Pegunungan RwenzoriLokasi Taman Nasional Pegunungan RwenzoriLetakDistrik Kasese, UgandaKota terdekatKaseseKoordinat00°22′N 29°57′E / 0.367°N 29.950°E / 0.367; 29.950Koordinat: 00°22′N 29°57′E / 0.367°N 29.950°E / 0.367; 29.950Luas998 kilometer persegi (385 sq mi)Pihak pengelolaOtoritas Pelestarian Alam Uganda Situs Warisan Dunia UNESCOJenisAlamiKriteriav...

 

Filep Karma

Filep KarmaLahirFilep Jacob Semuel Karma(1959-08-14)14 Agustus 1959Jayapura, Nugini Belanda[1]Meninggal1 November 2022(2022-11-01) (umur 63)Jayapura, PapuaKebangsaanIndonesiaPekerjaanAktivis kemerdekaanDikenal atasDitangkap tahun 2004Orang tuaAndreas Karma (ayah) Filep Jacob Semuel Karma (14 Agustus 1959 – 1 November 2022), lebih dikenal dengan nama Filep Karma, adalah aktivis kemerdekaan Papua. Pada tanggal 1 Desember 2004, ia ikut mengibarkan bendera Bintang Ke...

 

Primate cognition

Study of non-human primate intellect This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Primate cognition – news · newspapers · books · scholar · JSTOR (March 2012) (Learn how and when to remove this template message) The Chimpanzee Böbe in 1967 Böbe painting in 1967 Primate cognition is the study of the inte...

Karl Tausig

Polish pianist, arranger and composer (1841–1871) Karl TausigBorn(1841-11-04)4 November 1841Warsaw, Congress PolandDied17 July 1871(1871-07-17) (aged 29)Leipzig, German EmpireOccupationsPianistComposer Karl Tausig (sometimes Carl; born Karol Tausig; 4 November 1841 – 17 July 1871) was a Polish virtuoso pianist, arranger and composer. He is generally regarded as Franz Liszt's most distinguished pupil and one of the greatest pianists of all time. Life Tausig was born in Wa...

 

Синелобый амазон

Синелобый амазон Научная классификация Домен:ЭукариотыЦарство:ЖивотныеПодцарство:ЭуметазоиБез ранга:Двусторонне-симметричныеБез ранга:ВторичноротыеТип:ХордовыеПодтип:ПозвоночныеИнфратип:ЧелюстноротыеНадкласс:ЧетвероногиеКлада:АмниотыКлада:ЗавропсидыКласс:Пт�...

 

Nofret II

Egyptian queen of the 12th dynasty Nofret IIStatue of Nofret IIBurialLahun (possibly)SpouseSenusret IIDynasty12th of EgyptFatherAmenemhat II Nofret II (her name means Beautiful One) was an ancient Egyptian queen of the 12th dynasty. She was a daughter of Amenemhat II and wife of Senusret II.[1] Nofret II, 12th dynasty, Cairo Museum Along with Khenemetneferhedjet I she was one of the two known wives of Senusret II; his other two possible wives were Khenemet and Itaweret. All four were ...

Venus (planeta)

Venus Imagen de Venus tomada por la sonda Magallanes en 1991.DescubrimientoFecha Conocido desde la antigüedadCategoría PlanetaOrbita a SolAscensión recta (α) 272,76 grados sexagesimalesDeclinación (δ) 67,16 grados sexagesimalesDistancia estelar 261 000 000 kilómetrosMagnitud aparente −4,4Elementos orbitalesLongitud del nodo ascendente 76,678°Inclinación 3,39471°Argumento del periastro 55,186°Semieje mayor 0,723327 uaExcentricidad 0,00677323Anomalía media 50,167°E...

 

Keuskupan Mackenzie-Fort Smith

Keuskupan Mackenzie–Fort SmithDioecesis Mackenziensis–Arcis SmithKatolik Gereja Bunda Kemenangan di InuvikLokasiNegaraKanadaProvinsi gerejawiGrouard-McLennanStatistikLuas1.523.400 km2 (588.200 sq mi)Populasi- Katolik28,540 (67.9%)InformasiDenominasiKatolik RomaRitusRitus RomaKatedralKatedral Santo YosefKepemimpinan kiniPausFransiskusUskupJon Hansen,C.Ss.R.EmeritusDenis CroteauSitus webwww.dioceseofmackenzie.com Keuskupan Mackenzie–Fort Smith (bahasa Latin&#...

 

中華民國—瑞士關係

  提示：此条目页的主题不是中國—瑞士關係。   關於中華民國與「瑞」字國家的外交關係，詳見中瑞關係 (消歧義)。 中華民國—瑞士關係 中華民國 瑞士 代表機構駐瑞士台北文化經濟代表團瑞士商務辦事處代表代表 黃偉峰 大使[註 1][4]處長 陶方婭[5]Mrs. Claudia Fontana Tobiassen 中華民國—瑞士關係（德語：Schweizerische–republik china Beziehungen、法�...

Flange

External or internal ridge, or rim which provides strength For other uses, see Flange (disambiguation). This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: Flange – news...

 

Hari Peringatan Kelaparan Nasional

Peringatan kelaparan di Dublin, titik akhir jalan CCIFV Hari Peringatan Kelaparan Nasional (bahasa Irlandia: Lá Cuimhneacháin Náisiúnta an Ghorta Mhóir[1]) adalah perayaan tahunan di Irlandia untuk memperingati Kelaparan Besar. Program acara selama seminggu menjelang hari itu, biasanya pada hari Minggu di bulan Mei,[2] telah resmi diselenggarakan oleh pemerintah Irlandia sejak 6 Mei 2008. Acara utama diadakan di tempat yang berbeda setiap tahun, bergilir di empat prov...

 

Jaspillite

Banded mixture of hematite and quartz Jaspilite sample from Minas Gerais, Brazil Jaspillite (or jaspilite), also called itabirite or jasper taconite, is a chemical rock formed similar to chert, but is generally quite iron-rich. Jaspillite is typically a banded mixture of hematite and quartz common in the banded iron formation rocks of Proterozoic and Archaean age in the Canadian Shield. Jaspillite is also formed as exhalative chemical sediments in certain lead-zinc ore deposits, and as a hydr...

Prato Sport Club 1931-1932

Questa voce sull'argomento stagioni delle società calcistiche italiane è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Segui i suggerimenti del progetto di riferimento. Voce principale: Associazione Calcio Prato. Prato Sport ClubStagione 1931-1932Sport calcio Squadra Prato Allenatore Richard Klug Presidente Vincenzo Giarrè Prima Divisione3º posto nel girone B. 1930-1931 1932-1933 Si invita a seguire il modello di voce Questa voce raccoglie le ...

 

Palazzo Massimo alle Colonne

Building in Rome, ItalyPalazzo Massimo alle ColonneFacade of Palazzo Massimo alle Colonne.Click on the map for a fullscreen viewGeneral informationLocationRome, ItalyCoordinates41°53′48″N 12°28′25″E / 41.8967°N 12.4736°E / 41.8967; 12.4736 The Palazzo Massimo alle Colonne is a Renaissance palace in Rome, Italy. History The palace was designed by Baldassarre Peruzzi in 1532–1536 on a site of three contiguous palaces owned by the old Roman Massimo family an...