Partial List of Publications

Harold R. Bennett

February 6, 2004, 3:30 PM

Harold R. Bennett

February 6, 2004, 3:30 PM

- “The beta-space property in generalized ordered and monotonically normal spaces,” in
progress, with D. Lutzer. pdf file
- “The monotone Lindelof property and separability in ordered spaces,” to appear, with D.
Lutzer, M. Matveev. pdf file
- “Spaces with < -weakly uniform bases,” Topology Proceedings, to appear, with D. Lutzer.
pdf file
- Metrically fibered generalized ordered spaces,” Topology and its Applications, 130(2003),
283-290, with D. Lutzer. pdf file
- “Lines, trees, and branch spaces,” ORDER, 19 (2002), 367-384, with D. Lutzer, M.E. Rudin,
pdf file
- “Recent developments in the topology of ordered spaces,” Recent progress in general
topology, II, 83-114, North-Holland, Amsterdam, 2002, with D. Lutzer.
- “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
- “Continuous separating families in ordered spaces and strong base conditions,” Topology
Appl. 119 (2002), no. 3, 305-314, with D. Lutzer. pdf file
- “GO-spaces with -closed discrete dense subsets,” Proc. Amer. Math. Soc. 129 (2001), no.
3, 931-939, with R.W. Heath, D. Lutzer.
- “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
- “Cleavability in Ordered Spaces,” Order, 18(2001),1-17, with R.R. Byerly, and D. Lutzer.
- “Weakly perfect generalized ordered spaces,” Houston J. Math. 26 (2000), no. 4, 609-627,
with M. Hosobuchi, D. Lutzer. pdf file
- “A note on perfect generalized ordered spaces,” Rocky Mountain J. Math. 29 (1999), no. 4,
1195-1207, with M. Hosobuchi, D. Lutzer. pdf file
- “On dense subspaces of generalized ordered spaces,” Topology Appl. 93 (1999), no. 3,
191-205, with D. Lutzer, S. D. Purisch. pdf file
- “A metric space of A. H. Stone and an example concerning -minimal bases,” Proc. Amer.
Math. Soc. 126 (1998), no. 7, 2191-2196, with D. Lutzer. pdf file
- “Ordered spaces with special bases,” Fund. Math. 158 (1998), no. 3, 289-299, with D.
Lutzer. pdf file
- “Diagonal conditions in ordered spaces,” Fund. Math. 153 (1997), no. 2, 99-123, with D.
Lutzer. pdf file
- “Off-diagonal metrization theorems,” Topology Proc. 22 (1997), Spring, 37-58, with D.
Lutzer. pdf file
- “A note on property III in generalized ordered spaces,” Topology Proc. 21 (1996), 15-24,
with D. Lutzer. pdf file
- “On embeddings of perfect GO-spaces into perfect lots,” Tsukuba J. Math. 20 (1996), no. 1,
1-10, with M. Hosobuchi, T. Miwa.
- “Point countability in generalized ordered spaces,” Topology Appl. 71 (1996), no. 2,
149-165, with D. Lutzer. pdf file
- “Quasi-G
_{}-diagonals and weak -spaces in GO-spaces,” Tsukuba J. Math. 18 (1994), no. 2, 497-503, with M. Hosobuchi, - “Problems in perfect ordered spaces,” Open problems in topology, 231-236, North-Holland,
Amsterdam, 1990, with D. Lutzer.
- “A survey of the class MOBI,” Open problems in topology, 221-229, North-Holland,
Amsterdam, 1990, with J. Chaber.
- “A subclass of the class MOBI. Fund. Math. 135 (1990), no. 1, 65-75, with J. Chaber.
- “Weak covering properties and the class MOBI,” Fund. Math. 134 (1990), no. 2, 171-182,
with J. Chaber.
- “Quasi-developable manifolds,” Topology Proc. 14 (1989), no. 2, 201-212, with Z. Balogh.
- “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.
- “Scattered spaces and the class MOBI,” Proc. Amer. Math. Soc. 106 (1989), no. 1, 215-221,
with J. Chaber.
- “Conditions which imply metrizability in manifolds,” Houston J. Math. 15 (1989), no. 2,
153-162, with Z. Balogh.
- “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.
- “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.
- “LOTS with S
_{}-diagonals,” Topology Proc. 12 (1987), no. 2, 211-216. - “Total paracompactness of real GO-spaces,” Proc. Amer. Math. Soc. 101 (1987), no. 4,
753-760, with Z. Balogh.
- “Once Again, Structured Programming: Is It Necessary?” Computer in the Schools, Vol.2,
Nos.2/3, 1985,171-179, with D.Walling.
- “A factorization of the Collins-Roscoe theorem,” Topology Proc. 10 (1985), no. 1, 1-5.
- “A metric for metrizable GO-spaces,” Topology Proc. 9 (1984), no. 2, 217-225.
- “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.
- “Metrization, quasidevelopments and -minimal bases,” Questions Answers Gen. Topology
2 (1984), no. 2, 73-76, with D. Lutzer.
- “Generalized ordered spaces with capacities,” Pacific J. Math. 112 (1984), no. 1, 11-19 with
D. Lutzer.
- “Capacity spaces,” Topology Proc. 8 (1983), no. 1, 29-36, with W. Lewis, M. Luksic.
- “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.
- “Metrization of F
_{pp}-spaces,” Topology Appl. 15 (1983), no. 1, 7-10. - “A short proof that compact quasidevelopable spaces are metrizable,” Proc. Amer. Math.
Soc. 86 (1982), no. 4, 667-668.
- “An example concerning lots with -bases,” Topology Proc. 6 (1981), no. 1, 1-4 (1982).
- “GO-spaces with -bases,” Topology and order structures, Part 1 (Lubbock, Tex., 1980),
pp. 107-113, Math. Centre Tracts, 142, Math. Centrum, Amsterdam, 1981.
- “Ultraparacompactness in certain Pixley-Roy hyperspaces,” Fund. Math. 111 (1981), no. 1,
11-18, with W. G. Fleissner and D. Lutzer.
- “Linearly ordered Eberlein compact spaces,” Topology Appl. 12 (1981), no. 1, 11-18, with
D. Lutzer, J.M. van Wouwe.
- “A note on perfect ordered spaces,” Topology Proc. 5 (1980), 27-32 (1981), with D. Lutzer.
- “Metrizability of certain Pixley-Roy spaces,” Fund. Math. 110 (1980), no. 1, 51-61, with
W. G. Fleissner and D. Lutzer.
- “Certain hereditary properties and metrizability in generalized ordered spaces,” Fund. Math.
107 (1980), no. 1, 71-84, with D. Lutzer.
- “On open-compact images of metacompact spaces,” Topology Proc. 4 (1979), no. 2,
339-343 (1980).
- “Quasimetrizability and the -space property in certain generalized ordered spaces,”
Topology Proc. 4 (1979), no. 1, 1-12 (1980).
- “Pixley-Roy spaces and Heath planes,” Topology Proc. 3 (1978), no. 2, 313-318 (1979).
- “A metrization theorem for countably compact spaces,” Portugal. Math. 36 (1977), no. 3-4,
247-250 (1980), with H. W. Martin.
- “Ordered spaces with -minimal bases,” Topology Proc. 2 (1977), no. 2, 371-382 (1978)with
D. Lutzer.
- “Spaces with -minimal bases,” Topology Proc. 2 (1977), no. 1, 1-10 (1978), with E. S.
Berney.
- “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.
- “Real-valued functions on certain semi-metric spaces,” Compositio Math. 30 (1975),
137-144.
- “A note on certain spaces with bases (modK),” Canad. J. Math. 27 (1975), 469-474, with
H. W. Martin.
- “On certain generalizations of developable spaces,” General Topology and Appl. 4 (1974),
43-50, with E. S. Berney.
- “A note on weak -refinability,” General Topology and Appl. 2 (1972), 49-54, with D.
Lutzer.
- “On quasi-developable spaces,” General Topology and Appl. 1 1971 no. 3, 253-262.
- “Subparacompactness and G
_{}-diagonals in Arhangel ski’s class MOBI,” Proc. Amer. Math. Soc. 30 1971 573-577, with E. S. Berney. - “A note on point-countability in linearly ordered spaces,” Proc. Amer. Math. Soc. 28 1971
598-606.
- “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.
- “On Arhangel ski’s class MOBI,” Proc. Amer. Math. Soc. 26 1970 178-180.
- “Separability, the countable chain condition and the Lindelöf property in linearly orderable
spaces,” Proc. Amer. Math. Soc. 23 1969 664-667, with D. Lutzer.
- A note on the metrizability of M-spaces. Proc. Japan Acad. 45 1969 6-9.
- “Quasi-developable Spaces,” Arizona State University Topology Conference Journal, 1967, 314-317.