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'''Steve Jackson''' (full name: '''Stephen Craig Jackson''') is a [[set theory|set theorist]] at [[University of North Texas]]. Much of his most notable work has involved the [[descriptive set theory|descriptive set-theoretic]] consequences of the [[axiom of determinacy]]. In particular he is known for having calculated the values of all the projective ordinals (the [[suprema]] of the lengths of all [[prewellordering]]s of the reals at a particular level in the [[projective hierarchy]]) under the assumption that the axiom of determinacy holds. | |||
In recent years he has also made contributions to the theory of [[Borel equivalence relation]]s. With [[Dan Mauldin]] he solved the [[Steinhaus lattice problem]]. | |||
Jackson earned his [[Ph.D.]] in 1983 at [[UCLA]] under the direction of [[Donald A. Martin]], with a [[dissertation]] on ''A Calculation of'' '''δ'''<sup>1</sup><sub>5</sub>. In it, he proved that, under AD, | |||
<center><math>\mathbf{\delta^1_5}=\aleph_{\omega^{\omega^{\omega}}+1}</math></center> | |||
thereby solving the first Victoria Delfino problem, one of the notorious problems of the combinatorics of the [[axiom of determinacy]]. | |||
==External links== | |||
* [http://www.math.unt.edu/~sjackson/some_papers.html List of papers published by Steve Jackson] | |||
* {{MathGenealogy|id=14679|name=Steve Jackson}} | |||
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. --> | |||
| NAME = Jackson, Steve | |||
| ALTERNATIVE NAMES = | |||
| SHORT DESCRIPTION = American mathematician | |||
| DATE OF BIRTH = | |||
| PLACE OF BIRTH = | |||
| DATE OF DEATH = | |||
| PLACE OF DEATH = | |||
}} | |||
{{DEFAULTSORT:Jackson, Steve}} | |||
[[Category:University of California, Los Angeles alumni]] | |||
[[Category:University of North Texas faculty]] | |||
[[Category:American mathematicians]] | |||
[[Category:20th-century mathematicians]] | |||
[[Category:21st-century mathematicians]] | |||
[[Category:Living people]] | |||
[[Category:Year of birth missing (living people)]] | |||
{{US-mathematician-stub}} | |||
Latest revision as of 18:14, 18 June 2013
Steve Jackson (full name: Stephen Craig Jackson) is a set theorist at University of North Texas. Much of his most notable work has involved the descriptive set-theoretic consequences of the axiom of determinacy. In particular he is known for having calculated the values of all the projective ordinals (the suprema of the lengths of all prewellorderings of the reals at a particular level in the projective hierarchy) under the assumption that the axiom of determinacy holds.
In recent years he has also made contributions to the theory of Borel equivalence relations. With Dan Mauldin he solved the Steinhaus lattice problem.
Jackson earned his Ph.D. in 1983 at UCLA under the direction of Donald A. Martin, with a dissertation on A Calculation of δ15. In it, he proved that, under AD,
thereby solving the first Victoria Delfino problem, one of the notorious problems of the combinatorics of the axiom of determinacy.
External links
- List of papers published by Steve Jackson
- 50 yr old Print Journalist Broadbent from Deep River, has hobbies and interests which includes r/c helicopters, property developers in singapore house for rent and scrabble. Suggests that you go to Tomb of Askia.