### Logic List Mailing Archive

## James Baumgartner (1943-2011)

I am sorry to share the sad news that Jim Baumgartener, one of the
greatest modern set theorists, suddenly died of a heart attack. Jim is
known for a large number of fascinating results in set theory, including
the consistency of every two aleph_1 dense sets of reals being order
isomorphic, his method of forcing a club to omega_1 using finite
conditions, and many results in ordinal partition relations including the
celebrated Baumgartner-Hajnal theorem that omega_1 arrows (alpha)^2_n for
every countable alpha and finite n. To this day, almost every result in
combinatorial set theory is in some way connected with Jim and his
interests.
Jim was born in 1943 and obtained his PhD in 1970 at Berkeley with Robert
Vaught. He spent his entire career at Dartmouth College. Jim was a
fantastic person, colleague and advisor. Among his Ph.D. students were
Jean Larson, Alan Taylor and Stan Wagon and among his postdocs Uri
Abraham, Alessandro Andretta and James Cummings. All who had an occasion
to know Jim were struck by his warm personality and modesty in the face of
mathematics. In spite of his great talent and achievement he never put his
own work in front of that of the others and has generously helped all who
came across him as students and colleagues. Rest in peace Jim, you are no
longer with us, but your achievements will remain so forever.