• 2012 "Categoricity and topological graphs", Houston Journal of Mathematics, vol. 38, no. 1, 295-310.

• 2011 "Base-free formulas in the lattice-theoretic study of compacta", Archive for Mathematical Logic, vol. 50, no. 5-6, 531-542.

• 2011 "On the first-order expressibility of lattice properties related to unicoherence in continua", Archive for Mathematical Logic, vol. 50, no. 3-4, 503-512.

• 2010 "Not every co-existential map is confluent", Houston Journal of Mathematics, vol. 36, no. 4, 1233-1242.

• 2009 "Defining topological properties via interactive mapping classes" Topology Proceedings, vol. 34, 39-45.

• 2009 "Dendrites, topological graphs, and 2-dominance", Houston Journal of Mathematics, vol. 35, no. 4, 1091-1102.

• 2006 (with T. Banakh, B. Raines and W. Ruitenburg) "Chainability and Hemmingsen's theorem" Topology and its Applications, vol. 153, no. 14, 2462-2468.

• 2006 "The Chang-Los-Suszko theorem in a topological setting" Archive for Mathematical Logic, vol. 45, no. 1, 97-112.

• 2005 "Mapping properties of co-existentially closed continua" Houston Journal of Mathematics, vol. 31, no. 4, 1047-1063.

• 2003 "Modeling nonintersective adjectives using operator logics" The Review of Modern Logic, vol. 9, no. 1-2, 9-28.

• 2000 "Continua and the co-elementary hierarchy of maps," Topology Proceedings, vol. 25, 45-62.

• 2000 "Some applications of the ultrapower theorem to the theory of compacta," Applied Categorical Structures, vol. 8, 45-66. (See also Topology Atlas.)

• 1999 "A hierarchy of maps between compacta," Journal of Symbolic Logic, vol. 64, 1628-1644. (See also Topology Atlas.)

• 1997 "Co-elementary equivalence, co-elementary maps, and generalized arcs," Proceedings of the American Mathematical Society, vol. 125, 3715-3720. (See also Topology Atlas.)

• 1994 "Topologies invariant under a group action," Journal of Pure and Applied Algebra, vol. 97, 221-245.

• 1994 "Topological measures of systems of sets," in "Papers on General Topology and its Applications" (Queens College, NY, 1992), Annals of the New York Academy of Sciences, vol. 728, 1-15.

• 1993 "H-enrichments and their homeomorphism groups, II," in "Papers on General Topology and its Applications" (University of Wisconsin-Madison, 1991), Annals of the New York Academy of Sciences, vol. 704, 6-19.

• 1993 "Pseudobases in direct powers of an algebra," Transactions of the American Mathematical Society, vol. 335, 79-90.

• 1992 "H-enrichments and their homeomorphism groups," Quarterly Journal of Mathematics, Oxford (2), vol. 43, 127-148.

• 1992 "Minimal freeness and commutativity," Algebra Universalis, vol. 29, 88-108.

• 1991 (w. R.A. McCoy) "H-enrichments of topologies," Topology and its Applications, vol. 42, 37-55.

• 1990 (w. W. Ruitenburg) "Notions of relative ubiquity for invariant sets of relational structures," Journal of Symbolic Logic, vol. 55, 948-986.

• 1990 "Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups," J. Pure and Appled Algebra, vol. 68, 11-26.

• 1990 (w. R.A. McCoy) "On the classification of minimally free rings of continuous functions," in "General Topology and its Applications" (Proc. of the 1988 Northeast Conf., R.M. Shortt, ed.) Marcel Dekker, NY, 51-58.

• 1990 "Taxonomies of model-theoretically defined topological properties," Journal of Symbolic Logic, vol. 55, 589-603.

• 1989 "A note on large minimally free algebras," Algebra Universalis, vol. 26, 346-350.

• 1988 "Model-theoretic characterizations of arcs and simple closed curves," Proceedings of the American Mathematical Society, vol. 104, 898-904.

• 1987 "Reduced coproducts of compact Hausdorff spaces," Journal of Symbolic Logic, vol. 52, 404-424.

• 1985 (w. R. Schutt) "On minimally free algebras," Canadian Journal of Mathematics, vol. 17, 963-978.

• 1985 (w. R. Fox) "Topological partitions of euclidean space by spheres," American Mathematical Monthly, vol. 92, 423-424.

• 1984 "First order representations of compact Hausdorff spaces," in "Categorical Topology" (Proceedings of the International Conference, University of Toledo, Toledo, OH, H. L. Bentley, et al, eds.) Heldermann Verlag, Berlin, pp. 23-28.

• 1984 "Expressive power in first order topology," Journal of Symbolic Logic, vol. 49, 478-487.

• 1983 "Topological extensions and subspaces of $\eta_\alpha$-sets," Fundamenta Mathematicae, vol. 118, 191-199.

• 1983 "Obstacles to duality between classes of relational structures," Algebra Universalis, vol. 17, 87-91.

• 1983 (w. R. Fox) "On categories of algebras equivalent to a quasivariety," Algebra Universalis, vol. 16, 153-158.

• 1983 "Coarse topologies in nonstandard extensions via separative ultrafilters," Illinois Journal of Mathematics, vol. 27, 459-466.

• 1983 "On partitions of plane sets into simple closed curves II," Proceedings of the American Mathematical Society, vol. 89, 498-502.

• 1983 "On partitions of plane sets into simple closed curves," Proceedings of the American Mathematical Society, vol. 88, 691-698.

• 1983 "On productive classes of function rings," Proceedings of the American Mathematical Society, vol. 87, 11-14.

• 1982 "Some obstacles to duality in topological algebra," Canadian Journal of Mathematics, vol. 34, 80-90.

• 1979 "The total negation of a topological property," Illinois Journal of Mathematics, vol. 23, 241-252.

• 1979 (w. R. McGovern) "Topological partitions," General Topology and its Applications, vol. 10, 215-229.

• 1979 "Topological reduced products via good ultrafilters," General Topology and its Applications, vol. 10, 121-137.

• 1977 "Ultraproducts in topology," General Topology and its Applications, vol. 7, 283-308.

• 1976 "Topological reduced products and the GCH," Topology Proceedings, vol. 1, 261-267.

• 1976 "Clopen sets in hyperspaces," Proceedings of the American Mathematical Society, vol. 54, 298-302.

Published Codicils and Notes:

• 2003 "A survey of ultraproduct constructions in general topology," Topology Atlas Invited Contributions, vol. 8, no. 2, 1-32.

• 1996 "Nonstandard topology," Topology Atlas Invited Contributions, vol. 1, no. 4, 42.

• 1991 "Corrigendum to 'Taxonomies of model-theoretically defined topological properties'," Journal of Symbolic Logic, vol. 56, 425-426.

• 1985 "Corrigendum to 'Some obstacles to duality in topological algebra'," Canadian Journal of Mathematics, vol. 37, 82-83.

• 1984 "Addendum to 'On partitions of plane sets into simple closed curves II'," Proceedings of the American Mathematical Society, vol. 91, 658.

• 1979 "Note on 'Ultraproducts in topology'," General Topology and its Applications, vol. 10, 231-232.

Selected Unpublished Lecture Notes:

• 2011 "Metric Topology: A First Course" (for Math 4450 (new course numbering), Undergraduate Topology, Spring 2011)

• 2005 "A First Course in Topology: Explaining Continuity" (for Math 112, Undergraduate Topology, Spring 2005)