Fred Galvin, Date of Birth, Place of Birth
TweetFred Galvin
mathematician
Date of Birth: 10-Nov-1936
Place of Birth: Saint Paul, Minnesota, United States
Profession: mathematician
Nationality: United States
Zodiac Sign: Scorpio 
About Fred Galvin
- Frederick William Galvin is a mathematician, currently a professor at the University of Kansas.
- His research interests include set theory and combinatorics. His notable combinatorial work includes the proof of the Dinitz conjecture.
- In set theory, he proved with András Hajnal that if ??1 is a strong limit cardinal, then 2 ? ? 1 < ? ( 2 ? 1 ) + {\displaystyle 2^{\aleph _{\omega _{1}}}<\aleph _{(2^{\aleph _{1}})^{+}}} holds.
- The research on extending this result led Saharon Shelah to the invention of PCF theory.
- Galvin gave an elementary proof of the Baumgartner–Hajnal theorem ? 1 ? ( a ) k 2 {\displaystyle \omega _{1}\to (\alpha )_{k}^{2}} ( a < ? 1 , k < ? {\displaystyle \alpha <\omega _{1},k<\omega } ).
- The original proof by Baumgartner and Hajnal used forcing and absoluteness.
- Galvin and Shelah also proved the square bracket partition relations ? 1 ? [ ? 1 ] 4 2 {\displaystyle \aleph _{1}\not \to [\aleph _{1}]_{4}^{2}} and 2 ? 0 ? [ 2 ? 0 ] ? 0 2 {\displaystyle 2^{\aleph _{0}}\not \to [2^{\aleph _{0}}]_{\aleph _{0}}^{2}} .
- Galvin also proved the partition relation ? ? [ ? ] 3 2 {\displaystyle \eta \to [\eta ]_{3}^{2}} where ? denotes the order type of the set of rational numbers.
- Galvin and Karel Prikry proved that every Borel set is Ramsey.
- Galvin and Komjáth showed that the axiom of choice is equivalent to the statement that every graph has a chromatic number. Galvin received his Ph.D.
- in 1967 from the University of Minnesota.He invented Doublemove Chess in 1957, and Push Chess in 1967.
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