Curriculum Vitae

228C Physics Bldg Durham, NC 27708

(919) 660-2846 (office) (919) 489-4914 (home) (email)

Education

B.S., Davidson College, 1959 (cum laude)
Ph.D., Duke University, 1962

Areas of Research

Set-theoretic Topology, set theory, logic

Recent Grant Support

• The Robert Noyce Fellows at Duke University, National Science Foundation, DUE-0531966, 2005/10-2009/05.      

Professional Service

Director of Undergraduate Studies, July 2003 - July 2005  

Advisory Board, MAT, June 1, 2001 - June 1, 2008  

Supervisor of MTH 103, fall 2001, 2002, 2003, 2004  

Selected Recent Invited Talks

Topologies on increasing unions of spaces, Birmingham, AL, Mar. 25-27, 2004  

Variations of the Tukey Teichmuller Theorem; Arhangel skii's Theorem, Wesleyan University  

Topologies on increasing unions of spaces, Birmingham, AL, March 25-27, 2004  

Variations of Tukey-Teichmuller Theorem; Arhangel skii's Theorem, Wesleyan University, November 4-5, 2004  

Doctoral Theses Directed

Art Charlesworth, (1971 - 1974)  

Dwight House, (1968 - 1972)  

Kenneth Abernethy, (1967-1972)  

Thomas Kramer, (1967 - 1971)  

Barry Lobb, (1965 - 1969)  

Publications

Papers Published

1. R.E. Hodel, Restricted versions of the Tukey-Teichmuller Theorem that are equivalent to the Boolean prime ideal theorem, Archive for Mathematical Logic 44, 459 - 472 (2005)
2. R.E. Hodel, Book review: G. Tourlakis, Lectures in Logic and Set Theory (Volume 2), 592 pages., Review of Modern Logic, vol. 10 (2004), pp. 155-159
3. R.E. Hodel and J.E. Vaughan, Reflection theorems for cardinal functions, Topology and Its Applications, vol. 100 (2000), pp. 47-66
4. R. Hodel, Book review: The Mathematical Legacy of Edward Cech, edited by Katetov and Simon, 441 pages., Modern Logic, vol. 6 (1996), pp. 333-339
5. R.E. Hodel and J. E. Vaughan, Reflection theorems for cardinal functions, Topology and Its Applications 100(2000), 47-66
6. R. E. Hodel, Neighborhood systems and cardinal functions: a unified aproach to metrization a, Topology and Its Applications 90 (1998), 31-56
7. Richard E Hodel, History of generalized metrizable spaces, Handbook of the History of General Topology (volume II), edited by C. Aull and R. Lowen, Kluwer Academic Publishers (1998), 541-576
8. Richard E Hodel, Metrizability of spaces satisfying Nagata's condition, Mathematica Japonica 47 (1998), 287-293
9. R.E. Hodel and J.E. Vaughan, In memory of John Henderson Roberts (1906-1997), Topology Proceedings 23 (1998), 201-219
10. Richard E Hodel, An Introduction to Mathematical Logic, PWS Publishing Company, 1995
11. Richard E Hodel, k-structures and topology, Annals of New York Academy of Sciences, 728 (1994), 50-63

Papers Submitted

1. R.E. Hodel, Arhangel skii's Solution to Alexandroff's Problem: A Survey, Topology and Its Applications 153, 2199-2217 (2006)

Papers In Preparation

1. Richard E. Hodel, Matroid theory, logic, topology: What do they have in common?, in preparation , in preparation 2002

Preprints

1. R.E. Hodel, Classical metrization theorems, in Encyclopedia of General Topology, edited by Hart, Nagata, Vaughan (2003), pp. 239-241, Elsevier
2. R.E. Hodel, Modern metrization theorems, in Encyclopedia of General Topology, edited by Hart, Nagata, Vaughan (2003), pp. 242-246, Elsevier