Tudor Ganea

Tudor Ganea

Tudor Ganea (1922–1971) was a Romanian mathematician, known for his work in algebraic topology, especially homotopy theory. Ganea left Communist Romania to settle in the United States in the early 1960s. He taught at the University of Washington.

Work

In 1957, Ganea published in the "Annals of Mathematics" a short, yet influential paper with Samuel Eilenberg, in which the celebrated Eilenberg-Ganea conjecture was formulated. The conjecture is still open.

Just before he died, Ganea attended the Symposium on Algebraic Topology, held February 22-26, 1971 at the Battelle Seattle Research Center, in Seattle. At the symposium, he was not able to give a talk, but he did distribute a preprint containing a list of unsolved problems. One of these problems, regarding the "Lusternik–Schnirelmann category", came to be known as "Ganea's conjecture". Many particular cases of this conjecture were proved, until Norio Iwase provided a counterexample in 1998.

ee also

* Ganea space
* Ganea map
* Ganea fibration
* Ganea cofibration

References

* [http://links.jstor.org/sici?sici=0003-486X%28195705%292%3A65%3A3%3C517%3AOTLCOA%3E2.0.CO%3B2-J] Samuel Eilenberg, Tudor Ganea, "On the Lusternik-Schnirelmann category of abstract groups", Annals of Mathematics, 2nd Ser., 65 (1957), no. 3, 517 – 518
*Tudor Ganea, "Some problems on numerical homotopy invariants", Lecture Notes in Math. 249 (Springer, Berlin, 1971), pp. 13 – 22
* [http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=19333 Norio Iwase, "Ganea's conjecture on Lusternik-Schnirelmann category"] , in "Bulletin of the London Mathematical Society", 30 (1998), no.6, 623 – 634
*ro icon Gabriela Adameşteanu, [http://www.revista22.ro/html/index.php?art=2757&nr=2006-05-26 Interview with Aurora Cornu (Ganea's fiancée during the 1960s)] , in "22", May-June 2006

Quote

My algebraic topology professor, Tudor Ganea, used to say that "mathematics progresses by faith and hard work, the former augmented and the latter diminished by what others have done".
From: [http://www.msri.org/communications/books/Book35/files/fergall.pdf "Eightfold Way: The Sculpture"] , by Helaman Ferguson with Claire Ferguson, in "The Eightfold Way: The Beauty of Klein's Quartic Curve", edited by Silvio Levy, MSRI Publications, vol. 35, 1998

External links

*MathGenealogy|id=28303


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Ganea conjecture — Ganea s conjecture is a claim in algebraic topology, now disproved. It states that: ext{cat}(X imes S^n)= ext{cat}(X) +1, n>0 ,!where cat( X ) is the Lusternik–Schnirelmann category of a topological space X , and S n is the n dimensional sphere.… …   Wikipedia

  • Ganea — ist der Familienname folgender Personen: Florin Ganea (* 1976), rumänischer Fußballspieler Ioan Viorel Ganea (* 1973), rumänischer Fußballspieler Liviu Ganea (* 1988), rumänischer Fußballspieler Tudor Ganea (1922–1971), rumänischer Mathematiker …   Deutsch Wikipedia

  • Eilenberg-Ganea conjecture — The Eilenberg Ganea conjecture is a claim in algebraic topology. It was formulated by Samuel Eilenberg and Tudor Ganea in 1957, in a short, but influential paper. It states that if a group G has cohomological dimension 2, then it has a 2… …   Wikipedia

  • Lyusternik–Schnirelmann category — In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS category, or simply, category) of a topological space X is the topological invariant defined as the smallest cardinality of an open covering of X by… …   Wikipedia

  • Samuel Eilenberg — Infobox Scientist box width = name = Samuel Eilenberg image size = caption = Samuel Eilenberg (1970) birth date = birth date|1913|9|30 birth place = Warsaw, Russian Empire death date = death date and age|1998|1|30|1913|9|30 death place =… …   Wikipedia

  • List of Romanian Americans — This is a list of notable Romanian Americans.ListArts*Alexandra Nechita painter *Jacquea Kapralik artist *Antonio Luciano Pop artist *Amalia R. Pop artist *Rozalinda Vasai artist *Mircea Paul Goreniuc sculptor Business*Peter Georgescu chairman… …   Wikipedia

  • List of transfers of Liga I - 2007-08 season — Summer window=Ceahlăul Piatra NeamţIn: *flagicon|Romania Constantin Schumacher From FC Argeş Piteşti *flagicon|Romania Narcis Răducan From free *flagicon|Romania Marius Iordache From free *flagicon|Romania Mircea Oprea From FCU Politehnica… …   Wikipedia

  • Romania at the 1972 Summer Olympics — Infobox Olympics Romania games=1972 Summer competitors= sports= flagbearer= gold=3 silver=6 bronze=7 total=16Romania competed at the 1972 Summer Olympics in Munich, West Germany.MedalistsRomania finished in 13th position in the final medal… …   Wikipedia

  • List of Romanians — Note: Names that cannot be confirmed in Wikipedia database nor through given sources are subject to removal. If you would like to add a new name please consider writing about the person first. If a notable Romanian is , please add your request… …   Wikipedia

  • Liste der Söhne und Töchter von Bukarest — Aufgeführt sind Personen, die in Bukarest geboren wurden und mit einem Artikel in der deutschsprachigen Wikipedia versehen sind. Inhaltsverzeichnis A B C D E F G H I J K L M N O P Q R S T U V W X Y Z …   Deutsch Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”