Tudor Ganea

Tudor Ganea (* 1922 , † 1971 ) was a Romanian mathematician who dealt with algebraic topology .

Ganea came to the United States in the early 1960s and taught at the University of Washington .

The theorem of Ganea and Eilenberg is named after him and Samuel Eilenberg : if and G is a finitely presented group (with a cohomological dimension ), then there is an n-dimensional aspherical CW-complex whose fundamental group is G. In the case n = 2, the corresponding conjecture is open (Eilenberg-Ganea conjecture). ${\displaystyle n\geq 3}$ ${\displaystyle cd(G)\leq n}$

A presumption named after him about the Ljusternik-Schnirelmann category (after Lasar Aronowitsch Ljusternik , Lew Schnirelmann ) was refuted in 1998 by Norio Iwase. The conjecture is part of 15 conjectures he made at a conference at the Batelle Research Center in Seattle in 1971.

Web links

• Literature by and about Tudor Ganea in the bibliographic database WorldCat

Individual evidence

1. ↑ Iwase Ganea's conjecture on a co-H-space , pdf
2. ^ Eilenberg, Ganea On the Lusternik-Schnirelmann category of abstract groups , Annals of Mathematics, Volume 65, 1957, pp. 517-518
3. ^ Ganea Some problems on numerical homotopy invariants , Lecture Notes in Mathematics 249, Springer Verlag 1971, pp. 13-22
4. ↑ Iwase Ganea's conjecture on Lusternik-Schnirelmann category , Bulletin London Mathematical Society, Volume 30, 1998, pp 623-634