VARIOUS ITEMS
Book in preparation: Logical Aspects of Slenderness (working title).
Research papers in preparation:
1. Forcing and Jonsson cardinals.
2. M-slenderness.
3. Fracture cardinals and non-structure.
4. A note on omitting types in infinitary propositional languages.
RECENT REVIEWS
MR2643267 Shelah, Saharon, Classification Theory for Abstract Elementary Classes. Studies in Logic (London), 18. Mathematical Logic and Foundations. College Publications, London, 2009. vi+813 pp. ISBN: 978-1-904987-71-0, 03-02 (03C45 03C48).
MR2649290 Shelah, Saharon, Classification Theory for Abstract Elementary Classes. Vol. 2. Studies in Logic (London), 20. Mathematical Logic and Foundations. College Publications, London, 2009. iii+694 pp. ISBN: 978-1-904987-72-7, 03-02 (03C45 03C48).
PRINCIPAL PUBLICATIONS
Research papers
1. R. Göbel, B. Goldsmith, O. Kolman, On modules which are self-slender, Houston J. Math. 35 (3) (2009), 725-736. (Refereed; Zbl 1180.20046; MR2534276 (2010j:20086))
2. Strong subgroup chains and the Baer-Specker group, in: R. Göbel, B. Goldsmith (eds.), Models, Modules and Abelian Groups, A.L.S. Corner Memorial Volume, De Gruyter, 2008, pp. 189-200. (Refereed; MR2513235 (2011b:20151))
3. B. Goldsmith, O. Kolman, On cosmall abelian groups, J. Algebra 317 (2007), 510-518. (Refereed; Zbl 1132.20034; MR2362928 (2008k:20122))
4. S. Shelah and O. Kolman, Infinitary axiomatizability of slender and cotorsion-free groups, Bull. Belg. Math. Soc. 7 (2000), 623–629. (Refereed; ZBl:0974.03036; MR2002a:03074)
5. Almost disjoint families: an application to linear algebra, Electr. J. Linear Alg. 7 (2000), 41–52. (Refereed; ZBl:0948.03054; MR2001b:03049)
6. S. Shelah and O. Kolman, Almost disjoint pure subgroups of the Baer-Specker group, in: P.C. Eklof and R. Goebel (eds.), Infinite Abelian Groups, Trends in Mathematics, Birkhaeuser-Verlag, 1999, pp. 225–230. (Refereed; ZBl:0943.200542; MR2000k:20073)
7. S. Shelah and O. Kolman, A result related to the Problem CN of Fremlin, J. Appl. Anal. 4 (1998), 161–165. (Refereed; ZBl:0922.03061; MR2000e:03133)
8. Toronto spaces, minimality and a theorem of Sierpinski, Ir. Math. Soc. Bull. 38 (1997), 53-65. (Refereed; ZBl:0920.54003; MR98e:54005)
9. S. Shelah and O. Kolman, Categoricity of theories in Lk w when k is a measurable cardinal. Part 1, Fund. Math. 151 (1996), 209–240. (Refereed; ZBl:0882.03039; MR98h:03052)
10. Compact perfect T1 spaces, Ir. Math. Soc. Bull. 26 (1991), 52–58. (Refereed; ZBl:0786.54022; MR93k:54049)
Expository papers
1. The Baer-Specker group, Ir. Math. Soc. Bull. 40 (1998), 9–23. (Refereed; ZBl:0914.20049; MR99e:20068)
2. Jonsson groups, rings and algebras, Ir. Math. Soc. Bull. 36 (1996), 34–45. (Refereed; ZBl:0849.03044; MR97d:03042)
3. Non-measurable sets and translation invariance, Ir. Math. Soc. Bull. 34 (1995), 22–25. (Refereed; ZBl:0837.28012; MR97c:28001)
4. Internal forcing axioms: Martin’s axiom and the proper forcing axiom, Ir. Math. Soc. Bull. 29 (1992), 31–48. (Refereed; ZBl:0785.03035; MR94h:03105)
5. Banach space ultraproducts, Ir. Math. Soc. Bull. 18 (1987), 30–39. (Refereed; ZBl:0656.46062; MR88j:46013)
Interdisciplinary papers
1. Transfer principles for generalized interval systems, Perspectives of New Music, 42 (2004), 150-190. (Refereed)
2. Generalized interval systems: an application of logic, Orbis Musicae, Rethinking Interpretative Traditions in Musicology, Conference Proceedings, Tel Aviv University, 1999, 67-73. (Refereed)
3. Generalised interval systems of musical time: some logical and computational aspects, in: G. Wiggins et al. (eds.), Musical Creativity and Artificial Intelligence, AISB '99 Convention Proceedings, University of Edinburgh, 1999, 7–14. (Refereed)
