• 2019c Quotient theorems via ultracoproducts Topology and its Applications 268 (online first).

• 2019b On continuous images of ultra-arcs Topology and its Applications 261, 7--21.

• 2019a (w. D. Anderson) Extreme points of a continuum Topology and its Applications 257, 106--121.

• 2018 (w. A. McCluskey and R. Smith) Semicontinuity of betweenness functions Topology and its Applications 246, 22--47.

• 2017 Amalgamation-type properties of arcs and pseudo-arcs Topology Proceedings 49, 75--83. (published electronically, May 2016).

• 2016 Ultracoproduct continua and their regular subcontinua Topology and its Applications 210, 46--62.

• 2015 The antisymmetry betweenness axiom and Hausdorff continua Topology Proceedings 45, 189-215.

• 2014 When Hausdorff continua have no gaps, Topology Proceedings 44, 177-188.

• 2013 Road systems and betweenness, Bulletin of Mathematical Sciences 3 (3), 389--408; DOI 10.1007/s13373-013-0040-4 (online first).

• 2012 Categoricity and topological graphs, Houston Journal of Mathematics 38 (1), 295-310.

• 2011b Base-free formulas in the lattice-theoretic study of compacta, Archive for Mathematical Logic 50 (5-6), 531-542.

• 2011a On the first-order expressibility of lattice properties related to unicoherence in continua, Archive for Mathematical Logic 50 (3-4), 503-512.

• 2010 Not every co-existential map is confluent, Houston Journal of Mathematics 36 (4), 1233-1242.

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

• 2009a Dendrites, topological graphs, and 2-dominance, Houston Journal of Mathematics 35 (4), 1091-1102.

• 2006b (w. T. Banakh, B. Raines and W. Ruitenburg) Chainability and Hemmingsen's theorem, Topology and its Applications 153 (14), 2462-2468.

• 2006a The Chang-Los-Suszko theorem in a topological setting, Archive for Mathematical Logic 45 (1), 97-112.

• 2005 Mapping properties of co-existentially closed continua, Houston Journal of Mathematics 31 (4), 1047-1063.

• 2003 Modeling nonintersective adjectives using operator logics, The Review of Modern Logic 9 (1-2), 9-28.

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

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

• 1999 A hierarchy of maps between compacta, Journal of Symbolic Logic 64 (4), 1628-1644. (See also Topology Atlas.)

• 1997 Co-elementary equivalence, co-elementary maps, and generalized arcs, Proceedings of the American Mathematical Society 125 (12), 3715-3720. (See also Topology Atlas.)

• 1994b Topologies invariant under a group action, Journal of Pure and Applied Algebra 97 (3), 221-245.

• 1994a 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 728, 1-15.

• 1993b 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 704, 6-19.

• 1993a Pseudobases in direct powers of an algebra, Transactions of the American Mathematical Society 335 (1), 79-90.

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

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

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

• 1990d (w. W. Ruitenburg) Notions of relative ubiquity for invariant sets of relational structures, Journal of Symbolic Logic 55 (3), 948-986.

• 1990c Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups, Journal of Pure and Appled Algebra 68, 11-26.

• 1990b (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.

• 1990a Taxonomies of model-theoretically defined topological properties, Journal of Symbolic Logic 55 (2), 589-603.

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

• 1988 Model-theoretic characterizations of arcs and simple closed curves, Proceedings of the American Mathematical Society 104 (3), 898-904.

• 1987 Reduced coproducts of compact Hausdorff spaces, Journal of Symbolic Logic 52 (2), 404-424.

• 1985b (w. R. Schutt) On minimally free algebras, Canadian Journal of Mathematics 37 (5), 963-978.

• 1985a (w. R. Fox) Topological partitions of euclidean space by spheres, American Mathematical Monthly 92 (6), 423-424.

• 1984b 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.

• 1984a Expressive power in first order topology, Journal of Symbolic Logic 49 (2), 478-487.

• 1983g Topological extensions and subspaces of η_α-sets, Fundamenta Mathematicae 118, 191-199.

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

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

• 1983d Coarse topologies in nonstandard extensions via separative ultrafilters, Illinois Journal of Mathematics 27 (3), 459-466.

• 1983c On partitions of plane sets into simple closed curves II, Proceedings of the American Mathematical Society 89 (3), 498-502.

• 1983b On partitions of plane sets into simple closed curves, Proceedings of the American Mathematical Society 88 (4), 691-697.

• 1983a On productive classes of function rings, Proceedings of the American Mathematical Society 87 (1), 11-14.

• 1982 Some obstacles to duality in topological algebra, Canadian Journal of Mathematics 34 (1), 80-90.

• 1979c The total negation of a topological property, Illinois Journal of Mathematics 23 (2), 241-252.

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

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

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

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

• 1976a Clopen sets in hyperspaces, Proceedings of the American Mathematical Society 54 (1), 298-302.

Published Problems, Codicils and Notes:

• 2018 Monotone and co-existential images of ultra-arcs: problems Page 285 in Problems in continuum theory in memory of Sam B. Nadler Jr., L. Hoehn, P. Minc, M. Tuncali, eds., Topology Proceedings 52, 281--308.

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

• 1996n Nonstandard topology, Topology Atlas Invited Contributions 1 (4), 42.

• 1991n Corrigendum to "Taxonomies of model-theoretically defined topological properties", Journal of Symbolic Logic 56 (2), 425-426.

• 1985n Corrigendum to "Some obstacles to duality in topological algebra", Canadian Journal of Mathematics 37 (1), 82-83.

• 1984n Addendum to "On partitions of plane sets into simple closed curves II", Proceedings of the American Mathematical Society 91 (4), 658.

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

Lecture Notes and Dozy Doats:

• 2011u Metric Topology: A First Course, (notes for undergraduate topology course, Spring 2011)

• 2005u A First Course in Topology: Explaining Continuity, (notes for undergraduate topology course, Spring 2005)