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E-kompakte Räume. (E-compact spaces). (German) Zbl 0162.26501


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topology
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References:

[1] Alexandroff, P. S., andP. Urysohn: Memoire sur les espaces topologiques compacts. Verhandelingen der Kon. Akad. Amsterdam14 (1929). · JFM 55.0960.02
[2] Banaschewski, B.: Über nulldimensionale Räume. Math. Nachr.13, 129-140 (1955). · Zbl 0064.41303 · doi:10.1002/mana.19550130302
[3] ? Extensions of topological spaces. Canad. Math. Bull.7, 1-22 (1964). · Zbl 0121.17304 · doi:10.4153/CMB-1964-001-5
[4] Blefko, R., andS. Mrowka: Structures of continuous functions II. Some further results onE-compact spaces (erscheint).
[5] Bourbaki, N.: Theorie des ensembles, Chap. IV. Paris: Hermann 1957. · Zbl 0100.27803
[6] ? Topologie generale, Chap. X. Paris: Hermann 1961.
[7] ?ech, E.: On bicompact spaces. Ann. Math.38, 823-844 (1937). · Zbl 0017.42803 · doi:10.2307/1968839
[8] Dowker, C. H.: Local dimension of normal spaces. Quart. J. Math. Oxford Ser. (2)6, 101-120 (1955). · Zbl 0066.41204 · doi:10.1093/qmath/6.1.101
[9] Engelking, R.: Remarks on real-compact spaces. Fund. Math.55, 303-308 (1964). · Zbl 0134.18601
[10] ? andS. Mrowka: OnE-compact spaces. Bull. Acad. Pol. Sci. Ser. Sci. Math. Astr. Phys.6, 429-436 (1958). · Zbl 0083.17402
[11] Frolik, Z.: Generalisations of compact and Lindelöf-spaces. Czechosl. Math. J.9 (84), 172-217 (1959).
[12] ? A generalisation of realcompact spaces. Czechosl. Math. J.13 (88), 127-138 (1963). · Zbl 0112.37603
[13] Gelfand, I., andA. N. Kolmogoroff: On rings of continuous functions on topological spaces. C. R. (Doklady) Acad. Sci. URSS22, 11-15 (1939). · Zbl 0021.41103
[14] Gillman, L., andM. Henriksen: Concerning rings of continuous functions. Trans. Am. Math. Soc.77, 340-362 (1954). · Zbl 0058.10003 · doi:10.1090/S0002-9947-1954-0063646-5
[15] ?, andM. Jerison: Rings of continuous functions. Princeton: van Nostrand 1960.
[16] Herrlich, H.: Wann sind alle stetigen Abbildungen inY konstant? Math. Z.90, 152-154 (1965). · Zbl 0131.20402 · doi:10.1007/BF01112240
[17] ? Fortsetzbarkeit stetiger Abbildungen und Kompaktheitsgrad topologischer Räume. Math. Z.96, 64-72 (1967). · Zbl 0149.19501 · doi:10.1007/BF01111452
[18] Hewitt, E. Rings of real-valued continuous functions. Trans. Am. Math. Soc.64, 54-99 (1948). · Zbl 0032.28603 · doi:10.1090/S0002-9947-1948-0026239-9
[19] ? A note on extensions of continuous functions. An. Acad. Brasil. Ci21, 175-179 (1949).
[20] Isbell, J. R.: Uniform spaces. Providence: Am. Math. Soc. 1964. · Zbl 0124.15601
[21] Kat?tov, M.: On real-valued functions in topological spaces. Fund. Math.38, 85-91 (1951). · Zbl 0045.25704
[22] Kelley, J. L.: General topology. Princeton van Nostrand 1963. · Zbl 0157.53002
[23] Kowalsky, H. J.: Topologische Räume. Basel: Birkhäuser 1961.
[24] McDowell, R. H.: Extension of functions from dense subspaces. Duke Math. J.25, 297-304 (1958). · Zbl 0081.16601 · doi:10.1215/S0012-7094-58-02526-2
[25] Mrowka, S.: On universal spaces. Bull. Acad. Polon. Sci., Cl. III,4, 479-481 (1956). · Zbl 0071.38301
[26] ? A property of Hewitt-extensionv X of topological spaces. Bull. Acad. Polon. Sci. Ser. Sci. Math Astr. Phys.6, 95-96 (1958). · Zbl 0081.38602
[27] ? Structures of continuous functions III. Indagationes Math.27, 74-82 (1965). · Zbl 0139.07404
[28] Mrowka, S. Structures of continuous functions I (erscheint). · Zbl 0229.46027
[29] Nachbin, L.: Topological vector spaces of continuous functions. Proc. Nat. Acad. Sci. USA40, 471-474 (1954). · Zbl 0055.09803 · doi:10.1073/pnas.40.6.471
[30] Pierce, R. S.: Rings of integer-valued continuous functions. Trans. Am. Math. Soc.100, 371-394 (1961). · Zbl 0196.15401 · doi:10.1090/S0002-9947-1961-0131438-8
[31] Roy, P.: Failure of equivalence of dimension concepts for metric spaces. Bull. Am. Math. Soc.68, 609-613 (1962). · Zbl 0111.35303 · doi:10.1090/S0002-9904-1962-10872-6
[32] Shanin, N. A.: On special extensions of topological spaces. C. R. (Doklady) Acad. Sci. URSS (N. S.)38, 6-9 (1943). · Zbl 0061.39606
[33] ? On separation in topological spaces. C. R. (Doklady) Acad. Sci. URSS. (N. S.)38, 110-113 (1943). · Zbl 0061.39607
[34] ? On the theory of bicompact extensions of topological spaces. C. R. (Doklady) Acad. Sci. URSS (N. S.)38, 154-156 (1943). · Zbl 0061.39608
[35] Shirota, T.: On spaces with complete structure. Proc. Japan. Acad.27, 513-516 (1951). · Zbl 0045.25702 · doi:10.3792/pja/1195571226
[36] ? A class of topological spaces Osaka Math. J.4, 23-40 (1952). · Zbl 0047.41704
[37] Stone, A. H.: Paracompactness and product spaces. Bull. Am. Math. Soc.54, 977-982 (1948). · Zbl 0032.31403 · doi:10.1090/S0002-9904-1948-09118-2
[38] Stone, M. H.: Applications of the theory of Boolean rings to general topology. Trans. Am. Math. Soc.41, 375-481 (1937). · Zbl 0017.13502 · doi:10.1090/S0002-9947-1937-1501905-7
[39] ? On the compactification of topological spaces. Ann. Soc. Polon. Math.21, 153-160 (1948). · Zbl 0031.41701
[40] Taimanov, A. D.: On extension of continuous mappings of topological spaces. Math. Sbornik N. S.31 (73), 459-463 (1952).
[41] Tychonoff, A. Über die topologische Erweiterung von Räumen. Math. Ann.102, 544-561 (1930). · JFM 55.0963.01 · doi:10.1007/BF01782364
[42] Vulih, B. Z.: On the extension of continuous functions in topological spaces. Math. Sbornik N. S.30 (72), 167-170 (1952).
[43] Wallmann, H.: Lattices and topological spaces. Ann. Math.39, 112-126 (1938). · Zbl 0018.33202 · doi:10.2307/1968717
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