Some properties of the Stone-Cech compactification
ジャーナル
フリー
1960 年 12 巻 1 号 p. 104-117
詳細
- Published: 1960 Received: 1959/01/17 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) N. Bourbaki, Topologie générale, Chap. I, Paris, 1951.
2) E. Cech, On bicompact spaces. Ann. of Math., 38 (1937), 823-844.
3) H. J. Cohen, Sur un probleme de M. Dieudonné, C. R. Acad. Sci. Paris, 234 (1952), 290-292.
4) H. Corson, The determination of paracompactness by uniformities, Amer. J. Math., 80 (1958), 185-190.
5) J. Dieudonné, Un exemple d'espace normal non susceptible d'une structure uniforme d'espace complet, C. R. Acad. Sci. Paris, 209 (1939), 145-148.
6) J. Dieudonné, Une généralization des espaces compacts, J. Math. Pures Pures Appl., 23 (1944), 65-76.
7) M. Henriksen and J. R. Isbell, Some properties of compactifications, Duke Math. J., 25 (1958), 83-105.
8) E. Hewitt, Rings of real-valued continuous functions I, Trans. Amer. Math. Soc., 64 (1948), 45-99.
9) J. Kelley, General topology, New York, 1955.
10) J. Nagata, On topological completeness, J. Math. Soc. Japan, 2 (1950), 44-47.
11) H. Nakano, Topology and linear topological spaces, Tokyo, 1951.
12) E. Michael, Another note on paracompact spaces, Proc. Amer. Math. Soc.,8 (1957), 822-828.
13) P. Samuel, Ultrafilters and compactification of uniform spaces, Trans. Amer. Math. Soc., 64 (1948), 100-132.
14) T. Shirota, A class of topological spaces, Osaka Math. J., 4 (1952), 23-40.
15) A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc., 54 (1948), 977-982.
16) M. H. Stone, Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 375-481.
17) H. Tamano, On rings of real valued continuous functions, Proc. Japan Acad., 34 (1958), 361-366.
18) A. Weil, Sur les espaces à structure uniforme et sur la topologie générale, Paris, 1937.
Right : [1] N. Bourbaki, Topologie générale, Chap. I, Paris, 1951.
[2] E. Cech, On bicompact spaces. Ann. of Math., 38 (1937), 823-844.
[3] H. J. Cohen, Sur un probleme de M. Dieudonné, C. R. Acad. Sci. Paris, 234 (1952), 290-292.
[4] H. Corson, The determination of paracompactness by uniformities, Amer. J. Math., 80 (1958), 185-190.
[5] J. Dieudonné, Un exemple d'espace normal non susceptible d'une structure uniforme d'espace complet, C. R. Acad. Sci. Paris, 209 (1939), 145-148.
[6] J. Dieudonné, Une généralization des espaces compacts, J. Math. Pures Pures Appl., 23 (1944), 65-76.
[7] M. Henriksen and J. R. Isbell, Some properties of compactifications, Duke Math. J., 25 (1958), 83-105.
[8] E. Hewitt, Rings of real-valued continuous functions I, Trans. Amer. Math. Soc., 64 (1948), 45-99.
[9] J. Kelley, General topology, New York, 1955.
[10] J. Nagata, On topological completeness, J. Math. Soc. Japan, 2 (1950), 44-47.
[11] H. Nakano, Topology and linear topological spaces, Tokyo, 1951.
[12] E. Michael, Another note on paracompact spaces, Proc. Amer. Math. Soc.,8 (1957), 822-828.
[13] P. Samuel, Ultrafilters and compactification of uniform spaces, Trans. Amer. Math. Soc., 64 (1948), 100-132.
[14] T. Shirota, A class of topological spaces, Osaka Math. J., 4 (1952), 23-40.
[15] A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc., 54 (1948), 977-982.
[16] M. H. Stone, Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 375-481.
[17] H. Tamano, On rings of real valued continuous functions, Proc. Japan Acad., 34 (1958), 361-366.
[18] A. Weil, Sur les espaces à structure uniforme et sur la topologie générale, Paris, 1937.
訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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