Literature cited
P. Alexandrof, “Untersuchungen Über Gestalt and Lage abgeschlossener Mengen beliebiger Dimension,” Ann. Math.,30, 101–187 (1929).
R. Haydon, “On problem of Pelczynski: Milutin spaces, Dugundji spaces and AE (dim 0),” Stud. Math.,52, No. 1, 23–31 (1974).
A. Pelczynski, Linear Extensions, Linear Means, and Their Applications [Russian translation], Mir, Moscow (1970).
S. Sirota, “On spectral representation of spaces of closed subsets of bicompacts,” Dokl. Akad. Nauk SSSR,181, No. 5, 1069–1072 (1968).
J. R. Isbell, “Uniform neighborhood retracts,” Pac. J. Math.,11, No. 2, 609–648 (1961).
S. Ditor and R. Haydon, “On absolute retracts, P(S) and complemented subspaces of\(D^{\omega _2 } \),” Stud. Math.,56, No. 3, 243–251 (1976).
L. B. Shapiro, “On spaces of closed subsets of bicompacts,” Dokl. Akad. Nauk SSSR,231, No. 2, 295–298 (1976).
A. N. Dranishnikov, “Consistent annulment of families of closed sets,κ-metrizable and lacy spaces,” Dokl. Akad. Nauk SSSR,243, No. 5, 1105–1108 (1978).
L. B. Shapiro, “The space of closed subsets of\(D^{\omega _2 } \) is not a diadic bicompact,” Dokl. Akad. Nauk SSSR,228, No. 6, 1032–1035 (1976).
V. V. Fedorchuk, “On dimension ofκ-metrizable bicompacts, in particular, Dugundji spaces,” Dokl. Akad. Nauk SSSR,234, No. 1, 30–33 (1977).
A. V. Arkhangel'skii, “Extending the spectral theorem of E. V. Shchepin to completely regular spaces,” Dokl. Akad. Nauk SSSR,233, No. 3, 265–268 (1977).
K. A. Ross and A. H. Stone, “Products of separable spaces,” Am. Math. Mon.,71, 398–403 (1964).
S. P. Gul'ko, “On the structure of spaces of continuous functions and their hereditary paracompactness,” Usp. Mat. Nauk,34, No. 6, 33–41 (1979).
E. V. Shchepin, “Topology of limit spaces of uncountable inverse spectra,” Usp. Mat. Nauk,31, No. 5, 191–226 (1976).
E. V. Shchepin, “Real functions and canonical sets in Tychonoff products and topological groups,” Usp. Mat. Nauk,31, No. 6, 17–27 (1976).
E. V. Shchepin, “On topological products, groups, and a new class of spaces, more general than metric spaces,” Dokl. Akad. Nauk SSSR,226, No. 3, 527–529 (1976).
E. V. Shchepin, “A finite-dimensional bicompact absolute neighborhood retract is metrizable,” Dokl. Akad. Nauk SSSR,233, No. 3, 304–307 (1977).
E. V. Shchepin, “Onκ-metrizable spaces,” Izv. Akad. Nauk SSSR,43, No. 2 (1979).
E. Scepin, “Sur les applications continues des cubes de Tihonov,” C. R. Acad. Sei. Paris, Ser. A,288, 257–260 (1979).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 31, No. 2, pp. 299–315, February, 1982.
Rights and permissions
About this article
Cite this article
Shchepin, E.V. Method of inverse spectra in topology of bicompacts. Mathematical Notes of the Academy of Sciences of the USSR 31, 154–162 (1982). https://doi.org/10.1007/BF01158138
Issue Date:
DOI: https://doi.org/10.1007/BF01158138