Eric J. Hall, a mathematics professor

Dr. Eric Jonathan Hall
Division of Computing, Analytics, and Mathematics
School of Science and Engineering
UMKC

 Office: Flarsheim 510-E (map)
  Phone: 816-235-5852  
  Email: halle@umkc.edu

I have been a member of the mathematics faculty at UMKC since August 2003.

Some prior associations: Maybe some of you know me from my three years as a professor at Purdue University, or my five years as a graduate student at the University of Michigan, or my twenty-four years attending to various matters in the state of Minnesota (I've lived in Minneapolis, Northfield, and Edina, and I worked at Unisys in Roseville for a couple years). During Fall 2011, I was visiting the University of the Aegean in the town of Karlovasi.

Research Papers in Set Theory. Titles which are links are links to PDF files.

Characterizing permutation models -
- Permutation models and SVC,
  Notre Dame J. Formal Logic 48(2), 2007.
- A Characterization of permutation models in terms of forcing,
  Notre Dame J. Formal Logic 43(3), 2003.
Other -
- The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters
  (with K. Keremedis and E. Tachtsis), Math. Logic Quarterly 59(3), 2013.
- Partial choice functions for families of finite sets
  (with S. Shelah), Fundamenta Mathematicae 220, 2013.
- On BPI restricted to Boolean algebras of size continuum
  (with K. Keremedis), Bull. Pol. Acad. Sci., Math. 61(1), 2013.
- Čech-Stone compactifications of discrete spaces in ZF and some weak forms of the Boolean prime ideal theorem
  (with K. Keremedis), Topology Proceedings 41, 2012.
- Unions and the axiom of choice
  (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 54, 2008.
- Definitions of finiteness based on order properties
  (with O. De la Cruz and D. Dzhafarov), Fundamenta Mathematicae 198, 2006.
- Properties of the real line and weak forms of the axiom of choice
  (with O. De la Cruz, P. Howard, K. Keremedis, and E. Tachtsis), Math. Logic Quarterly 51(6), 2005.
- Metric spaces and the axiom of choice
  (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 49(5), 2003.
- Products of compact spaces and the axiom of choice II
  (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 49(1), 2003.
- Products of compact spaces and the axiom of choice
  (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 48(4), 2002.
- Definitions of compactness and the axiom of choice
  (with O. De la Cruz, P. Howard, J. Rubin, and A. Stanley), J. Symbolic Logic 67(1), 2002.