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A note on paracompact spaces
Author:
Ernest Michael
Journal:
Proc. Amer. Math. Soc. 4 (1953), 831-838
MSC:
Primary 56.0X
Erratum:
Proc. Amer. Math. Soc. 5 (1954), 1001-1001.
Erratum:
Proc. Amer. Math. Soc. 4 (1953), 993.
MathSciNet review:
0056905
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
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R.
H. Bing, Metrization of topological spaces, Canadian J. Math.
3 (1951), 175–186. MR 0043449
(13,264f)
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N. Bourbaki, Integration, Paris, Hermann, 1952.
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Dieudonné, Une généralisation des espaces
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Dieudonné, Sur un espace localement compact non
métrisable, Anais Acad. Brasil. Ci. 19 (1947),
67–69 (French). MR 0020769
(8,594e)
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C.
H. Dowker, An imbedding theorem for paracompact metric spaces,
Duke Math. J. 14 (1947), 639–645. MR 0022344
(9,196g)
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Kiiti
Morita, Star-finite coverings and the star-finite property,
Math. Japonicae 1 (1948), 60–68. MR 0026803
(10,204d)
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Jun-iti
Nagata, On a necessary and sufficient condition of
metrizability, J. Inst. Polytech. Osaka City Univ. Ser. A. Math.
1 (1950), 93–100. MR 0043448
(13,264e)
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Smirnov, A necessary and sufficient condition for metrizability of
a topological space, Doklady Akad. Nauk SSSR (N.S.)
77 (1951), 197–200 (Russian). MR 0041420
(12,845c)
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M. Smirnov, On normally disposed sets of normal spaces, Mat.
Sbornik N.S. 29(71) (1951), 173–176 (Russian). MR 0044107
(13,371e)
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H. Sorgenfrey, On the topological product of
paracompact spaces, Bull. Amer. Math. Soc.
53 (1947),
631–632. MR 0020770
(8,594f), http://dx.doi.org/10.1090/S0002-9904-1947-08858-3
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H. Stone, Paracompactness and product
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(10,204c), http://dx.doi.org/10.1090/S0002-9904-1948-09118-2
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John
W. Tukey, Convergence and Uniformity in Topology, Annals of
Mathematics Studies, no. 2, Princeton University Press, Princeton, N. J.,
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0002515 (2,67a)
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Paul
Urysohn, Über die Mächtigkeit der zusammenhängenden
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H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213–245. MR 0030759
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- [1]
- R. H. Bing, Metrization of topological spaces, Canadian Journal of Mathematics vol. 3 (1951) pp. 175-186. MR 0043449 (13:264f)
- [2]
- N. Bourbaki, Integration, Paris, Hermann, 1952.
- [3]
- J. Dieudonné, Une généralization des espaces compacts, J. Math. Pures Appl. vol. 23 (1944) pp. 65-76. MR 0013297 (7:134f)
- [4]
- -, Sur un espace localement compact non metrisable, Anais da Academia Brasileira de Ciencias vol. 19 (1947) pp. 67-69. MR 0020769 (8:594e)
- [5]
- C. H. Dowker, An embedding theorem for paracompact metric spaces, Duke Math. J. vol. 14 (1947) pp. 639-645. MR 0022344 (9:196g)
- [6]
- K. Morita, Star-finite coverings and the star-finite property, Mathematica Japonicae vol. 1 (1948) pp. 60-68. MR 0026803 (10:204d)
- [7]
- J. Nagata, On a necessary and sufficient condition of metrizability, J. Inst. Polytech., Osaka City Univ., Ser. A. Math. vol. 1 (1950) pp. 93-100. MR 0043448 (13:264e)
- [8]
- Yu. Smirnov, A necessary and sufficient condition for metrizability of a topological space, Doklady Akad. Nauk SSSR. N.S. vol. 77 (1951) pp. 197-200. MR 0041420 (12:845c)
- [9]
- -, On normally disposed sets of normal spaces, Mat. Sbornik N.S. vol. 29 (1951) pp. 173-176. MR 0044107 (13:371e)
- [10]
- R. H. Sorgenfrey, On the topological product of paracompact spaces, Bull. Amer. Math. Soc. vol. 53 (1947) pp. 631-632. MR 0020770 (8:594f)
- [11]
- A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 977-982. MR 0026802 (10:204c)
- [12]
- J. W. Tukey, Convergence and uniformity in topology, Annals of Mathematics Studies, vol. 2, 1940. MR 0002515 (2:67a)
- [13]
- P. Urysohn, Über die Mächtigkeit der zusammenhängenden Mengen, Math. Ann. vol. 94 (1925) pp. 262-295. MR 1512258
- [14]
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. vol. 55 (1949) pp. 213-246. MR 0030759 (11:48b)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1953-0056905-8
PII:
S 0002-9939(1953)0056905-8
Article copyright:
© Copyright 1953 American Mathematical Society
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