Partial List of Publications
Harold R. Bennett

February 6, 2004,  3:30 PM

  1. “The beta-space property in generalized ordered and monotonically normal spaces,” in progress, with D. Lutzer. pdf file

  2. “The monotone Lindelof property and separability in ordered spaces,” to appear, with D. Lutzer, M. Matveev. pdf file

  3. “Spaces with < w-weakly uniform bases,” Topology Proceedings, to appear, with D. Lutzer. pdf file

  4. Metrically fibered generalized ordered spaces,” Topology and its Applications, 130(2003), 283-290, with D. Lutzer. pdf file

  5. “Lines, trees, and branch spaces,” ORDER, 19 (2002), 367-384, with D. Lutzer, M.E. Rudin, pdf file

  6. “Recent developments in the topology of ordered spaces,” Recent progress in general topology, II, 83-114, North-Holland, Amsterdam, 2002, with D. Lutzer.

  7. “Linearly ordered and generalized ordered spaces,” in Encyclopedia of General Topology, ed. by K.P. Hart, J. Nagata, and J. Vaughan, to appear, with D. Lutzer. pdf file

  8. “Continuous separating families in ordered spaces and strong base conditions,” Topology Appl. 119 (2002), no. 3, 305-314, with D. Lutzer. pdf file

  9. “GO-spaces with s-closed discrete dense subsets,” Proc. Amer. Math. Soc. 129 (2001), no. 3, 931-939, with R.W. Heath, D. Lutzer.

  10. “OIF spaces,” in Questions and Answers in General Topology, 18(2000), 129-141, with Z. Balogh, H. Bennett, D. Lutzer, D. Burke, G. Gruenhage, and J. Mashburn. pdf file

  11. “Cleavability in Ordered Spaces,” Order, 18(2001),1-17, with R.R. Byerly, and D. Lutzer.

  12. “Weakly perfect generalized ordered spaces,” Houston J. Math. 26 (2000), no. 4, 609-627, with M. Hosobuchi, D. Lutzer. pdf file

  13. “A note on perfect generalized ordered spaces,” Rocky Mountain J. Math. 29 (1999), no. 4, 1195-1207, with M. Hosobuchi, D. Lutzer. pdf file

  14. “On dense subspaces of generalized ordered spaces,” Topology Appl. 93 (1999), no. 3, 191-205, with D. Lutzer, S. D. Purisch. pdf file

  15. “A metric space of A. H. Stone and an example concerning s-minimal bases,” Proc. Amer. Math. Soc. 126 (1998), no. 7, 2191-2196, with D. Lutzer. pdf file

  16. “Ordered spaces with special bases,” Fund. Math. 158 (1998), no. 3, 289-299, with D. Lutzer. pdf file

  17. “Diagonal conditions in ordered spaces,” Fund. Math. 153 (1997), no. 2, 99-123, with D. Lutzer. pdf file

  18. “Off-diagonal metrization theorems,” Topology Proc. 22 (1997), Spring, 37-58, with D. Lutzer. pdf file

  19. “A note on property III in generalized ordered spaces,” Topology Proc. 21 (1996), 15-24, with D. Lutzer. pdf file

  20. “On embeddings of perfect GO-spaces into perfect lots,” Tsukuba J. Math. 20 (1996), no. 1, 1-10, with M. Hosobuchi, T. Miwa.

  21. “Point countability in generalized ordered spaces,” Topology Appl. 71 (1996), no. 2, 149-165, with D. Lutzer. pdf file

  22. “Quasi-Gd-diagonals and weak s-spaces in GO-spaces,” Tsukuba J. Math. 18 (1994), no. 2, 497-503, with M. Hosobuchi,

  23. “Problems in perfect ordered spaces,” Open problems in topology, 231-236, North-Holland, Amsterdam, 1990, with D. Lutzer.

  24. “A survey of the class MOBI,” Open problems in topology, 221-229, North-Holland, Amsterdam, 1990, with J. Chaber.

  25. “A subclass of the class MOBI. Fund. Math. 135 (1990), no. 1, 65-75, with J. Chaber.

  26. “Weak covering properties and the class MOBI,” Fund. Math. 134 (1990), no. 2, 171-182, with J. Chaber.

  27. “Quasi-developable manifolds,” Topology Proc. 14 (1989), no. 2, 201-212, with Z. Balogh.

  28. “On two classes of sets containing all Baire sets and all Co-analytic sets,” Topology and its Applications 33, 1989, 247-264, with Z. Balogh.

  29. “Scattered spaces and the class MOBI,” Proc. Amer. Math. Soc. 106 (1989), no. 1, 215-221, with J. Chaber.

  30. “Conditions which imply metrizability in manifolds,” Houston J. Math. 15 (1989), no. 2, 153-162, with Z. Balogh.

  31. “On the observability of ergodic flows on abelian groups with characteristic functions,” Proc. Guilford College Sesquicentennial Topology Conference (1988), 31-35, with Z. Balogh and C. Martin.

  32. “Structured Programming Constructs In Basis: Tried and Tested,” Computers in the Schools, Vol. 4, No. 2, 1987, 135-141, with R.M.Anderson and D. Walling.

  33. “LOTS with Sd-diagonals,” Topology Proc. 12 (1987), no. 2, 211-216.

  34. “Total paracompactness of real GO-spaces,” Proc. Amer. Math. Soc. 101 (1987), no. 4, 753-760, with Z. Balogh.

  35. “Once Again, Structured Programming: Is It Necessary?” Computer in the Schools, Vol.2, Nos.2/3, 1985,171-179, with D.Walling.

  36. “A factorization of the Collins-Roscoe theorem,” Topology Proc. 10 (1985), no. 1, 1-5.

  37. “A metric for metrizable GO-spaces,” Topology Proc. 9 (1984), no. 2, 217-225.

  38. “A Program in Mathematical Analysis for the Life and Management Sciences,” American Mathematical Monthly, Vol. 32, No. 5, 1975, with J. White, G. Baldwin, R. Moreland and D.Walling.

  39. “Metrization, quasidevelopments and s-minimal bases,” Questions Answers Gen. Topology 2 (1984), no. 2, 73-76, with D. Lutzer.

  40. “Generalized ordered spaces with capacities,” Pacific J. Math. 112 (1984), no. 1, 11-19 with D. Lutzer.

  41. “Capacity spaces,” Topology Proc. 8 (1983), no. 1, 29-36, with W. Lewis, M. Luksic.

  42. “A note on perfect normality in generalized ordered spaces,” Topology and order structures, Part 2 (Amsterdam, 1981), 19-22, Math. Centre Tracts, 169, Math. Centrum, Amsterdam, 1983, with D. Lutzer.

  43. “Metrization of Fpp-spaces,” Topology Appl. 15 (1983), no. 1, 7-10.

  44. “A short proof that compact quasidevelopable spaces are metrizable,” Proc. Amer. Math. Soc. 86 (1982), no. 4, 667-668.

  45. “An example concerning lots with dh-bases,” Topology Proc. 6 (1981), no. 1, 1-4 (1982).

  46. “GO-spaces with dh-bases,” Topology and order structures, Part 1 (Lubbock, Tex., 1980), pp. 107-113, Math. Centre Tracts, 142, Math. Centrum, Amsterdam, 1981.

  47. “Ultraparacompactness in certain Pixley-Roy hyperspaces,” Fund. Math. 111 (1981), no. 1, 11-18, with W. G. Fleissner and D. Lutzer.

  48. “Linearly ordered Eberlein compact spaces,” Topology Appl. 12 (1981), no. 1, 11-18, with D. Lutzer, J.M. van Wouwe.

  49. “A note on perfect ordered spaces,” Topology Proc. 5 (1980), 27-32 (1981), with D. Lutzer.

  50. “Metrizability of certain Pixley-Roy spaces,” Fund. Math. 110 (1980), no. 1, 51-61, with W. G. Fleissner and D. Lutzer.

  51. “Certain hereditary properties and metrizability in generalized ordered spaces,” Fund. Math. 107 (1980), no. 1, 71-84, with D. Lutzer.

  52. “On open-compact images of metacompact spaces,” Topology Proc. 4 (1979), no. 2, 339-343 (1980).

  53. “Quasimetrizability and the g-space property in certain generalized ordered spaces,” Topology Proc. 4 (1979), no. 1, 1-12 (1980).

  54. “Pixley-Roy spaces and Heath planes,” Topology Proc. 3 (1978), no. 2, 313-318 (1979).

  55. “A metrization theorem for countably compact spaces,” Portugal. Math. 36 (1977), no. 3-4, 247-250 (1980), with H. W. Martin.

  56. “Ordered spaces with s-minimal bases,” Topology Proc. 2 (1977), no. 2, 371-382 (1978)with D. Lutzer.

  57. “Spaces with s-minimal bases,” Topology Proc. 2 (1977), no. 1, 1-10 (1978), with E. S. Berney.

  58. “A selective survey of axiom-sensitive results in general topology,” Texas Tech University Mathematics Series, No. 12. Department of Mathematics, Texas Tech University, Lubbock, Tex., 1976. iv+114 pp, with T.G. McLaughlin.

  59. “Real-valued functions on certain semi-metric spaces,” Compositio Math. 30 (1975), 137-144.

  60. “A note on certain spaces with bases (modK),” Canad. J. Math. 27 (1975), 469-474, with H. W. Martin.

  61. “On certain generalizations of developable spaces,” General Topology and Appl. 4 (1974), 43-50, with E. S. Berney.

  62. “A note on weak h-refinability,” General Topology and Appl. 2 (1972), 49-54, with D. Lutzer.

  63. “On quasi-developable spaces,” General Topology and Appl. 1 1971 no. 3, 253-262.

  64. “Subparacompactness and Gd-diagonals in ArhangelĄc skii ’s class MOBI,” Proc. Amer. Math. Soc. 30 1971 573-577, with E. S. Berney.

  65. “A note on point-countability in linearly ordered spaces,” Proc. Amer. Math. Soc. 28 1971 598-606.

  66. “Semi-metric functions and semi-metric spaces,” 1970 Proc. Washington State Univ. Conf. on General Topology (Pullman, Wash., 1970) pp. 34-38 Pi Mu Epsilon, Dept. of Math., Washington State Univ., Pullman, Wash., with M.H. Hall.

  67. “On ArhangelĄc skii ’s class MOBI,” Proc. Amer. Math. Soc. 26 1970 178-180.

  68. “Separability, the countable chain condition and the Lindelöf property in linearly orderable spaces,” Proc. Amer. Math. Soc. 23 1969 664-667, with D. Lutzer.

  69. A note on the metrizability of M-spaces. Proc. Japan Acad. 45 1969 6-9.

  70. “Quasi-developable Spaces,” Arizona State University Topology Conference Journal, 1967, 314-317.