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<h2>Papers by David J. Lutzer </h2>
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<p>
<h2> Recent Publications: </h2>
<ul>

<li> "Generalized ordered spaces with
$\sigma$-closed discrete dense subsets," with
H. Bennett and R. Heath, Proc. Amer. Math. Soc.,
to appear.
<p>


<li> "Baire and Volterra spaces," with Gary
Gruenhage, Proc. Amer. Math. Soc., to appear.
<p>

<li> "Ordered spaces with special bases," with
H. Bennett, Fundamenta Math. 158 (1998), 289-299.
<p>


<li> "A note on perfect ordered spaces," with
H. Bennett and M. Hosobuchi, to appear in Rocky
Mountain Journal of Mathematics.

<p>
<li> "On groups that are isomorphic to a 
proper subgroup," with S. Fallat, C-K Li, and D.
Stanford, to appear in Mathematics Magazine.
<p>


<li> "Off-diagonal metrization theorems," with
H. Bennett, Topology Proceedings 22 (1997), 37-58.
<p>

<li> "On dense subspaces of generalized ordered
spaces," with H. Bennett and S. Purisch, 
Topology and its Applications 93 (1999), 191-205.
<p>

<li> "A metric space of A.H. Stone and an example
concerning $\sigma$-minimal bases,"
Proc. Amer. Math. Soc. 126 (1998), 2183-2189.
<p>

<li> "A note on paracompactness in generalized
ordered spaces," with E.  van Douwen,
Proc. Amer. Math. Soc. 125 (1997), 1237-1245.
<p>

<li> "Diagonal conditions in ordered spaces," with
H. R. Bennett, Fund.  Math. 153 (1997), 99-123.
<p>

<li> "Point-countability in generalized ordered
spaces," with H.R. Bennett, Topology and its
Applications, 71 (1996), 149-165.
<p>

<li> "A note on Property III in generalized
ordered spaces," with H.R. Bennett, Topology
Proceedings 21 (1996), 15-24.
<p>

<li> "Advising undergraduates about graduate
school in mathematics: methods that work," with
D. Herrmann, FOCUS, June 1995.
<p>

<li> "Weakly perfect generalized ordered spaces,"
with H. Bennett and M. Hosobuchi, Houston
J. Math., to appear.
<p>


<li> "On a question of Arhangel'skii and Bealla,
with H. Bennett, to appear.
<p>




<P> 
<h2>Papers before 1994 </h2>

<p><li>[1] 88k:54050 Burke, D. K. ; Lutzer, D. J. On powers of certain lines. Topology
Appl. 26 (1987), no. 3, 251--261).

<p><li>[2] 87e:54046 Lutzer, D. ; van Mill, J. ; Pol, R. Descriptive complexity of
function spaces. Trans. Amer. Math. Soc. 291 (1985), no. 1, 121--128.

<p><li>[3] 87a:54039 Burke, D. ; Lutzer, D. ; Levi, S. Functional characterizations of
certain $p$-spaces. Topology Appl. 20 (1985), no. 2, 161--165. 

<p><li>[4] 87a:54018 Dijkstra, J. ; Grilliot, T. ; Lutzer, D. ; van Mill, J. Function
spaces of low Borel complexity. Proc. Amer. Math. Soc. 94 (1985), no. 4,
703--710. 

<p><li>[5] 85h:54058 Lutzer, D. J. Twenty questions on ordered spaces. Topology and
order structures, Part 2 (Amsterdam, 1981), 1--18, Math. Centre Tracts, 169,
Math. Centrum, Amsterdam, 1983.

<p><li>[6] 85h:54053 Bennet, H. ; Lutzer, D. J. 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.

<p><li>[7] 85g:54001 Topology and order structures. Part 2. Papers presented at the
second workshop on topology and linear orderings held in Amsterdam, August
1981. Edited by H. R. Bennett and D. J. Lutzer. Mathematical Centre Tracts,
169. Mathematisch Centrum, Amsterdam, 1983. iii+107 pp. ISBN: 90-6196-266-8
54-06.

<p><li>[8] 85d:54041 Bennett, H. R. ; Lutzer, D. J. Generalized ordered spaces with
capacities. Pacific J. Math. 112 (1984), no. 1, 11--19.

<p><li>[9] 83c:54044 Kulpa, W. ; Lutzer, D. New proofs of a metrization theorem for
ordered spaces. Topology and order structures, Part 1 (Lubbock, Tex., 1980),
pp. 141--146, Math. Centre Tracts, 142, Math. Centrum, Amsterdam, 1981.

<p><li>[10] 83b:54040 Bennett, H. R. ; Lutzer, D. J. A note on perfect ordered spaces.
The Proceedings of the 1980 Topology Conference (Univ. Alabama, Birmingham,
Ala., 1980). Topology Proc. 5 (1980), 27--32 (1981). 

<p><li>[11] 82m:54029 Lutzer, David J. A metrization theorem for generalized ordered
spaces. The Proceedings of the 1979 Topology Conference (Ohio Univ., Athens,
Ohio, 1979). Topology Proc. 4 (1979), no. 1, 265--269 (1980).

<p><li>[12] 82k:54019 Lutzer, D. J. ; McCoy, R. A. Category in function spaces. I.
Pacific J. Math. 90 (1980), no. 1, 145--168.

<p><li>[13] 82k:54010 Bennett, H. R. ; Fleissner, W. G. ; Lutzer, D. J.
Ultraparacompactness in certain Pixley\mhy Roy hyperspaces. Fund. Math. 111
(1981), no. 1, 11--18.

<p><li>[14] 82k:54009 Bennett, H. R. ; Fleissner, W. G. ; Lutzer, D. J. Metrizability
of certain Pixley\mhy Roy spaces. Fund. Math. 110 (1980), no. 1, 51--61.

<p><li>[15] 82j:54063 Bennett, H. R. ; Lutzer, D. J. Certain hereditary properties and
metrizability in generalized ordered spaces. Fund. Math. 107 (1980), no. 1,
71--84.

<p><li>[16] 82h:54001 Topology and order structures. Part 1. Papers presented at a
Workshop on Topology and Linear Orderings held at Texas Tech University,
Lubbock, Tex., August 1980. Edited by H. R. Bennett and D. J. Lutzer.
Mathematical Centre Tracts, 142. Mathematisch Centrum, Amsterdam, 1981. iii+184
pp. ISBN: 90-6196-228-5 54-06 

<p><li>[17] 82f:54046 Bennett, H. R. ; Lutzer, D. J. ; van Wouwe, J. M. Linearly
ordered Eberlein compact spaces. Topology Appl. 12 (1981), no. 1, 11--18.

<p><li>[18] 81d:54026 Lutzer, David J. Ordered topological spaces. Surveys in general
topology, pp. 247--295, Academic Press, New York-London-Toronto, Ont., 1980.

<p><li>[19] 81b:54008 van Douwen, E. K. ; Lutzer, D. J. ; Pelant, J. ; Reed, G. M. On
unions of metrizable subspaces. Canad. J. Math. 32 (1980), no. 1, 76--85.

<p><li>[20] 80m:54012 Lutzer, David J. Pixley-Roy topology. Proceedings of the 1978
Topology Conference (Univ. Oklahoma, Norman, Okla., 1978), I. Topology Proc. 3
(1978), no. 1, 139--158 (1979).

<p><li>[21] 80j:54027 Bennett, H. R. ; Lutzer, D. J. Ordered spaces with $\sigma
$-minimal bases. Proceedings of the 1977 Topology Conference (Louisiana State
Univ., Baton Rouge, La., 1977), II. Topology Proc. 2 (1977), no. 2, 371--382
(1978).

<p><li>[22] 80h:54038 van Douwen, Eric K. ; Lutzer, David J. On the classification of
stationary sets. Michigan Math. J. 26 (1979), no. 1, 47--64.

<p><li>[23] 80d:54014 Lutzer, David J. ; Przymusi\'nski, Teodor C. Continuous
extenders in normal and collectionwise normal spaces. Fund. Math. 102 (1979),
no. 3, 165--171. 

<p><li>[24] 56 16577 van Douwen, E. K. ; Lutzer, D. J. ; Przymusi\'nski, T. C. Some
extensions of the Tietze-Urysohn theorem. Amer. Math. Monthly 84 (1977), no. 6,
435--441.

<p><li>[25] 55 11197 Lutzer, David J. A selection-theoretic approach to certain
extension theorems. Set-theoretic topology (Papers, Inst. Medicine and Math.,
Ohio Univ., Athens, Ohio, 1975--1976), pp. 269--275. Academic Press, New York,
1977. 

<p><li>[26] 55 1318 Burke, Dennis K. ; Lutzer, David J. Recent advances in the theory
of generalized metric spaces. Topology (Proc. Ninth Annual Spring Topology
Conf., Memphis State Univ., Memphis, Tenn., 1975), pp. 1--70. Lecture Notes in
Pure and Appl. Math., Vol. 24, Dekker, New York, 1976.

<p><li>[27] 55 1303 Engelking, R. ; Lutzer, D. Paracompactness in ordered spaces.
Fund. Math. 94 (1977), no. 1, 49--58. 

<p><li>[28] 54 13844 Franklin, S. P. ; Lutzer, D. J. ; Thomas, B. V. S. On
subcategories of TOP. Trans. Amer. Math. Soc. 225 (1977), 267--278.

<p><li>[29] 54 6088 Aarts, J. M. ; Lutzer, D. J. On constructing bases in certain
complete spaces. Nederl. Akad. Wetensch. Proc. Ser. A {\bf 79}=Indag. Math. 38
(1976), no. 3, 185--188.

<p><li>[30] 53 3237 Lutzer, D. J. Some constructions in abstract measure theory.
Canad. J. Math. 27 (1975), no. 4, 860--866.

<p><li>[31] 52 1642 Aarts, J. M. ; Lutzer, D. J. Completeness properties designed for
recognizing Baire spaces. Dissertationes Math. (Rozprawy Mat.) 116 (1974), 48
pp. 

<p><li>[32] 51 11424 Heath, R. W. ; Lutzer, D. J. The Dugundji extension theorem and
collectionwise normality. Bull. Acad. Polon. Sci Sér. Sci. Math. Astronom.
Phys. 22 (1974), 827--830.

<p><li>[33] 51 9030 Heath, R. W. ; Lutzer, D. J. ; Zenor, P. L. Monotonically normal
spaces. Trans. Amer. Math. Soc. 178 (1973), 481--493. 

<p><li>[34] 51 6746 Burke, D. ; Engelking, R. ; Lutzer, D. Hereditarily
closure-preserving collections and metrization. Proc. Amer. Math. Soc. 51
(1975), 483--488. 

<p><li>[35] 51 6704 Heath, R. W. ; Lutzer, D. J. Dugundji extension theorems for
linearly ordered spaces. Pacific J. Math. 55 (1974), 419--425.

<p><li>[36] 50 14692 Lutzer, D. J. Ordinals and paracompactness in ordered spaces.
TOPO 72---general topology and its applications (Proc. Second Pittsburgh
Internat. Conf., Pittsburgh, Pa., 1972; dedicated to the memory of Johannes H.
de Groot), pp.258--266, Lecture Notes in Math., Vol. 378, Springer, Berlin,
1974. 

<p><li>[37] 50 14681 Borges, C. R. ; Lutzer, D. J. Characterizations and mappings of
$M\sb{i}$ spaces. Topology Conference (Virginia Polytech. Inst. and State
Univ., Blacksburg, Va., 1973), pp. 34--40. Lecture Notes in Math., Vol. 375,
Springer, Berlin, 1974. 

<p><li>[38] 50 11134 Heath, R. W. ; Lutzer, D. J. ; Zenor, P. L. On continuous
extenders. Studies in topology (Proc. Conf., Univ. North Carolina, Charlotte,
N.C., 1974; dedicated to Math. Sect. Polish Acad. Sci.), pp. 203--213. Academic
Press, New York, 1975.

<p><li>[39] 50 8460 Lutzer, D. J. On quasi-uniform bases. Proceedings of the
University of Oklahoma Topology Conference dedicated to Robert Lee Moore
(Norman, Okla., 1972), pp. 104--117. Univ. of Oklahoma, Norman, Okla., 1972.

<p><li>[40] 49 9797 Lutzer, D. ; Martin, H. A note on the Dugundji extension theorem.
Proc. Amer. Math. Soc. 45 (1974), 137--139. 

<p><li>[41] 48 5009 Aarts, J. M. ; Lutzer, D. J. Pseudo-completeness and the product
of Baire spaces. Pacific J. Math. 48 (1973), 1--10.

<p><li>[42] 48 3018 Lutzer, D. J. On generalized ordered spaces. Dissertationes Math.
Rozprawy Mat. 89 (1971), 32 pp. 

<p><li>[43] 46 8167 Aarts, J. M. ; Lutzer, D. J. The product of totally nonmeagre
spaces. Proc. Amer. Math. Soc. 38 (1973), 198--200.

<p><li>[44] 46 6292 Lutzer, David J. Another property of the Sorgenfrey line.
Compositio Math. 24 (1972), 359--363. 

<p><li>[45] 46 853 Bennett, H. R. ; Lutzer, D. J. A note on weak $\theta
$-refinability. General Topology and Appl. 2 (1972), 49--54.

<p><li>[46] 45 5952 Lutzer, D. J. Semimetrizable and stratifiable spaces. General
Topology and Appl. 1 (1971), no. 1, 43--48. 

<p><li>[47] 42#1075 Lutzer, David J. On generalized ordered spaces. 1970 Proc.
Washington State Univ. Conf. on General Topology (Pullman, Wash., 1970) pp.
102--110 Pi Mu Epsilon, Dept. of Math., Washington State Univ., Pullman, Wash.

<p><li>[48] 40#2013 Lutzer, D. J. ; Bennett, H. R. Separability, the countable chain
condition and the Lindelöf property in linearly orderable spaces. Proc. Amer.
Math. Soc. 23 1969 664--667. 

<p><li>[49] 40#2012 Lutzer, David J. A metrization theorem for linearly orderable
spaces. Proc. Amer. Math. Soc. 22 1969 557--558.

<p><li>[50] 078 649 Bennett, H. R. ; Lutzer, D. J. Problems in perfect ordered spaces.
Open problems in topology, 231--236, North-Holland, Amsterdam, 1990. 

<p><li>[51] 776 568 Bennett, H. R. ; Lutzer, D. J. Metrization, quasidevelopments and
$\sigma$-minimal bases. Questions Answers Gen. Topology 2 (1984), no. 2,
73--76.

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