Topology Atlas
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Production Editor: E.
Schechter
R. M. Stephenson, Jr.
Department of Mathematics
University of South Carolina
Columbia, SC 29208, U.S.A.
Office phone: (803) 777-3699
E-mail: stphnson@math.sc.edu
Publications:
In print:
- (with C.T. Scarborough) Minimal topologies, Colloq. Math. 19 (l968),
215-219.
- Spaces for which the Stone-Weierstrass theorem holds, Trans. Amer.
Math. Soc. 133 (1968), 537-546.
- Pseudocompact spaces, Trans. Amer. Math. Soc. 134 (1968), 437-448.
- (with M.P. Berri and J.R. Porter) A survey of minimal topologies, Proc.
Kanpur Topology Conf. (1968), Academic Press, New York (1971), 93-114.
- Minimal first countable topologies, Trans. Amer. Math. Soc. 138 (1969),
115-127.
- Product spaces for which the Stone-Weierstrass theorem holds, Proc.
Amer. Math. Soc. 21 (1969), 284-288.
- Two minimal first countable Hausdorff spaces, Math. Zeitschr. 108
(1969), 171-172.
- A countable minimal Urysohn space is compact, Proc. Amer. Math. Soc. 22
(1969), 625-626.
- Non-cut point and modified compactness conditions, Proc. Amer. Math.
Soc. 23 (1969), 266-272.
- Minimal first countable Hausdorff spaces, Pacific J. Math. 36 (1971),
819-825.
- (with Victor Saks) Products of M-compact spaces, Proc. Amer. Math. Soc.
28 (1971), 279-288.
- Minimal topological groups, Math. Ann. 192 (1971), 193-195.
- Products of minimal Urysohn spaces, Duke Math. J. 38 (1971), 703-707.
- Discrete subsets of perfectly normal spaces, Proc. Amer. Math. Soc. 34
(1972), 605-608.
- Products of nearly compact spaces, Proc. of the Univ. of Oklahoma
Topology Conference, 1972, 310-320, Academic Press.
- Two R-closed spaces, Canadian J. Math. 24 (1972), 286-292.
- Product spaces and the Stone-Weierstrass theorem, General Topology and
its Applications 3 (1973), 77-79.
- (with J.E. Vaughan) Products of initially m-compact spaces, Trans.
Amer. Math. Soc. 197 (1974), 177-189.
- (with Peter W. Harley, III) Symmetrizable and related spaces, Trans.
Amer. Math. Soc. 219 (1976), 89-111.
- Some unsolved problems concerning P-minimal and P-closed spaces, Proc.
of the Memphis State Topology Conf., 249-257, Marcel Dekker, 1976.
- Symmetrizable-closed spaces, Pacific J. Math. 68 (1977), 507-514.
- Symmetrizable spaces, Can. J. Math. 29 (1977), 480-488.
- Near compactness and separability of symmetrizable spaces, Proc. Amer.
Math. Soc. 68 (1978), 108-110.
- Symmetrizable spaces and separability, Topology Proceedings 4 (1979),
589-599.
- (with S.W. Davis) Separability and minimal weak base conditions, Proc.
Amer. Math. Soc. 74 (1979), 371-378.
- The development of and gaps in the theory of products of initially M-
compact spaces, Topology Proceedings 6 (1981), 99-113.
- Pseudocompact and Stone-Weierstrass product spaces, Pacific J. Math. 99
(1982), 159-174.
- A theorem on the cardinality of k-total spaces, Proc. Amer. Math. Soc.
89 (1983), 367-370.
- Initially k-compact and related spaces, 603-632, in Handbook of Set-
Theoretic Topology, edited by K. Kunen and J.E. Vaughan, North-Holland, 1984.
- Concerning the equation C(PXa) = C(PwXa), 277-281, in Rings of
Continuous Functions, edited by C.E. Aull, Marcel Dekker, 1985.
- Moore-closed and first countable feebly compact extension spaces,
Topology and its Applications 27 (1987) 11-28.
- (with Jack R. Porter and R. Grant Woods) Maximal feebly compact spaces,
Topology and its Applications 52 (1993), 203-219.
- (with Jack R. Porter and R. Grant Woods) Maximal pseudocompact spaces,
Commentationes Mathematicae Universitatis Carolinae 35, 1 (1994), 127--145.
- (with Yousef Bdeir) Minimal totally disconnected spaces, Houston
Journal of Mathematics 4, (20) 1994, 721--744.
In press:
- (with Jack R. Porter and R. Grant Woods) Maximal feebly compact
expansions, Proceedings 1993 Summer Conference on General Topology and
Applications held at Slilppery Rock University, Pernnsylvania,
June 24--26, 1994.
Submitted:
- (with Jack R. Porter) Minimal Hausdorff spaces - then and now, invited paper, to appear (after any required
revisions are made) in the Proceedings of the 1993 American Mathematical Society
Annual Meeting Special Session on The History of General Topology.
Unpublished articles:
- A first countable regular spaces on which every continuous real valued
function is constant, 1971.
This HTML page was produced by Topology Atlas;
last modified 21 Feb 1996.
Based on information submitted by
R. M. Stephenson, Jr. on 20 Jan 1996.