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Book Review
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Book Information
Author(s):
J. M. van Wouwe
Title:
$GO$-spaces and generalizations of metrizability
Additional book information:
Mathematical Centre Tracts, Volume 104, Mathematisch Centrum, Amsterdam, The Netherlands, 1979, x + 117 pp.
References:
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- [Be] H. R. Bennett, Point-countability in ordered spaces, Proc. Amer. Math. Soc. 28 (1971), 598-606. MR 275377
- [BeL] H. R. Bennett and D. J. Lutzer, Certain hereditary properties and metrizability in generalized ordered spaces, Fund. Math. (to appear). MR 584660
- [Bi] G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloq. Publ. no. 25, New York, 1940.
- [Bo] C. J. R. Borges, On metrizability of topological spaces, Canad. J. Math. 20 (1968), 795-804. MR 231355
- [vDW] J. van Dalen and E. Wattell, A topological characterization of ordered spaces, General Topology and Appl. 3 (1973), 347-354. MR 341431
- [E] S. Eilenberg, Ordered topological spaces, Amer. J. Math. 63 (1941), 39-45. MR 3201
- [Fa] M. J. Faber, Metrizability in generalized ordered spaces, Math. Center Tracts, no. 53, Amsterdam, 1974. MR 418053
- [Fi] V. Filippov, On feathered paracompacta, Soviet Math. Dokl. 9 (1968), 161-164.
- [GJ] L. Gillman and M. Jerison, Rings of continuous functions, van Nostrand, New York, 1960. MR 116199
- [H] H. Herrlich, Ornungsfahigkeit topologischer Raume, Inaugural dissertation, Berlin, 1962. MR 154246
- [HL] R. W. Heath and D. J. Lutzer, Dugundji extension theorems for linearly ordered spaces. Pacific J. Math. 55 (1974), 419-425. MR 370477
- [HLZ] R. W. Heath, D. J. Lutzer and P. L. Zenor, Monotonically normal spaces, Trans. Amer. Math. Soc. 178 (1973), 481-493. MR 372826
- [L] D. J. Lutzer, A metrization theorem for linearly orderable spaces, Proc. Amer. Math. Soc. 22 (1969), 557-558. MR 248761
- [Mi1] E. A. Michael, The product of a normal space and a metric space need not be normal, Bull. Amer. Math. Soc. 69 (1963), 375-376. MR 152985
- [Mi2] E. A. Michael, Paracompactness and the Lindelöf property in finite and countable Cartesian products, Compositio Math. 23 (1971), 199-214. MR 287502
- [Mc] A. Miscenko, Spaces with a pointwise denumerable basis, Soviet Math. Dokl. 3 (1962), 855-858. MR 138090
- [Mo] K. Morita, Products of normal spaces with metric spaces, Math. Ann. 154 (1964), 365-382. MR 165491
- [Na] K. Nagami, ∑-spaces, Fund. Math. 65 (1969), 169-192. MR 257963
- [Ny] P. Nyikos, A compact, nonmetrizable space P such that P (preprint).
- [O] A. Okuyama, Some generalizations of metric spaces, their metrization theorems and product spaces, Sci. Rep. Tokyo Kyoiku Daiyaku, Sect A 9 (1967), 236-254. MR 230283
- [P] T. Przymusiński, A Lindelöf space X such that X, Fund. Math. 78 (1973), 291-296. MR 321007
- [R1] M. E. Rudin, Interval topology in subsets of totally orderable spaces, Trans. Amer. Math. Soc. 118 (1965), 376-389. MR 179751
- [R2] M. E. Rudin, Souslin's conjecture, Amer. Math. Monthly 76 (1969), 1113-1119. MR 270322
- [S] R. Sorgenfrey, On the topological product of paracompact spaces, Bull. Amer. Math. Soc. 53 (1947), 631-632. MR 20770
- [V] N. V. Veličko, Ordered p-spaces, Izv. Vysš. Učebn Zaved. Matematika 1976, no. 9 (172), 25-36. MR 487400
Additional Information:
Reviewer(s):
David J.
Lutzer
Review Information:
Journal:
Bull. Amer. Math. Soc.
3
(1980),
886-891.
DOI:
10.1090/S0273-0979-1980-14841-7
PII:
S 0273-0979(1980)14841-7
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