On κ-metrizable space

Mathematics of the USSR - Izvestija

Volumn 14, Issue 2, 1980, Pages 407-440

  Scepin E V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84956067105     PISSN: 00255726     EISSN: 21695075     Source Type: Journal    
DOI: 10.1070/IM1980v014n02ABEH001124     Document Type: Article

References (26)

1. P. S. Aleksandrov, Introduction to set theory and general topology, “Nauka”, Moscow, 1977. (Russian)
2. P. S. Aleksandrov and B. A. Pasynkov, Introduction to dimension theory, “Nauka”, Moscow, 1973. (Russian)
3. A. V. Arhangel’skiĭ, On α-expanded spaces, Dokl. Akad. Nauk SSSR 239 (1978), 605-608; English transl. in Soviet Math. Dokl. 19 (1978).
4. Karol Borsuk, Theory of retracts, PWN, Warsaw, 1967.
5. T. Bröcker, Differentiable germs and catastrophes, London Math. Soc. Lecture Notes Ser., vol. 17, Cambridge Univ. Press, New York, 1975.
6. N. Bourbaki, Topologie générale, Chaps. 1, 2, 4th ed., Actualités Sci. Indust., no. 1142, Hermann, Paris, 1965; English transl., Hermann, Paris; Addison-Wesley, Reading, Mass., 1966.
7. ——, Intégration, Chaps. 7-8, Actualités Sci. Indust., no. 1306, Hermann, Paris, 1963.
8. Nelson Dunford and Jacob T. Schwartz, Linear operators. Vol. I, Interscience, New York, 1958.
9. Ryszard Engelking, General topology, PWN, Warsaw, 1977.
10. B. A. Efimov, Dyadic bicompacta, Trudy Moskov. Mat. Obšč. 14 (1965), 21 1-247; English transl. in Trans. Moscow Math. Soc. 14 (1965).
11. ——, Mappings and imbeddings of dyadic spaces, Mat. Sb. 103 (145) (1977), 52-68; English transl. in Math. USSR Sb. 32 (1977).
12. David J. Lutzer, A metrization theorem for linearly orderable spaces, Proc. Amer. Math. Soc. 22 (1969), 557-558.
13. A. Pełczyński, Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions, Dissertationes Math. Rozprawy Mat. 58 (1968).
14. B. A. Pasynkov, Almost metrizable topological groups, Dokl. Akad. Nauk SSSR 161 (1965), 281-284; English transl. in Soviet Math. Dokl. 6 (1965).
15. L. S. Pontrjagin, Continuous groups, 2nd ed., GITTL, Moscow, 1954; English transl., Gordon & Breach, New York, 1966.
16. E. G. Skljarenko, On the topological structure of locally bicompact groups and their quotient spaces, Mat. Sb. 60 (102) (1963), 63-88; English transl. in Amer. Math. Soc. Transl. (2) 39 (1964).
17. V. V. Fedorčuk, On the dimension of K-metrizable bicompacta, in particular Dugundji spaces, Dokl. Akad. Nauk SSSR 234 (1977), 30-33; English transl. in Soviet Math. Dokl. 18 (1977).
18. Paul R. Haimos, Measure theory, Van Nostrand, Princeton, N. J., 1950.
19. Richard Haydon, On a problem of Petczyński: Milutin spaces, Dugundji spaces and AE (0-dim), Studia Math. 52 (1974), 23-31.
20. L. B. Šapiro, The space of closed subsets of (Equation Presented) is not a dyadic bicompact, Dokl. Akad. Nauk SSSR 228 (1976), 1302-1305; English transl. in Soviet Math. Dokl. 17 (1976).
21. G. T. Whyburn, Directed families of sets and closedness of functions, Proc. Nat. Acad. Sci. U. S. A. 54 (1965), 688-692.
22. N. A. Šanin, On the product of topological spaces, Trudy Mat. Inst. Steklov. 24 (1948). (Russian)
23. E. V. Ščepin, Topology of limit spaces of uncountable inverse spectra, Uspehi Mat. Nauk 31 (1976), no. 5 (191), 191-226; English transl. in Russian Math. Surveys 31 (1976).
24. ——, Real functions and canonical sets in Tihonov products and topological groups, Uspehi Mat. Nauk 31 (1976), no. 6 (192), 17-27; English transl. in Russian Math. Surveys 31 (1976).
25. ——, On topological products, groups, and a new class of spaces more general than metric spaces, Dokl. Akad. Nauk SSSR 226 (1976), 527-529; English transl. in Soviet Math. Dokl. 17 (1976), 152-155.
26. S. Mardešić and P. Papić, Dyadic bicompacta and continuous mappings of ordered bicompacta, Dokl. Akad. Nauk SSSR 143 (1962), 529-531; English transl. in Soviet Math. Dokl. 3 (1962).