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Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence

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Literature Cited

  1. E. V. Shchepin, “Functors and uncountable powers of compacta,” Usp. Mat. Nauk,36, No. 3, 3–61 (1981).

    Google Scholar 

  2. G. M. Nepomnyashchii, “Spectral decomposition of multivalued absolute retracts,” ibid., 221–222.

    Google Scholar 

  3. V. V. Fedorchuk, “Open maps,” Usp. Mat. Nauk,37, No. 4, 187–188 (1982).

    Google Scholar 

  4. L. B. Shapiro, “Properties of functors of exponential type,” in: Fourth Tiraspol' Symposium on General Topology and Its Applications [in Russian], Shtiintsa, Kishinev (1979), pp. 163–64.

    Google Scholar 

  5. R. Bott, “On the third symmetric potency of S1,” Fundam. Math.,39, 264–268 (1952).

    Google Scholar 

  6. A. Pelczynski, Linear Extensions, Linear Averages, and Their Applications [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  7. R. Haydon, “On a problem of Pelczynski: Milutin spaces, Dugundji spaces and AE (dim 0),” Studia Math.,52, No. 1, 23–31 (1974).

    Google Scholar 

  8. E. V. Shchepin, “Topology of limit spaces of uncountable inverse spectra,” Usp. Mat. Nauk,31, No. 5, 191–226 (1976).

    Google Scholar 

  9. A. N. Dranishnikov, “Absolute extensors in dimension n and n-soft maps, raising dimension,” Usp. Mat. Nauk,39, No. 5, 55–95 (1984).

    Google Scholar 

  10. E. V. Shchepin, “Functors in the category of bicompacta,” in: Fourth Tiraspol' Symposium on General Topology and Its Applications [in Russian], Shtiintsa, Kishinev (1979), pp. 173–176.

    Google Scholar 

  11. E. V. Shchepin, “Real functions and canonical sets in Tikhonov products and topological groups,” Usp. Mat. Nauk,31, No. 6, 17–27 (1976).

    Google Scholar 

  12. G. Kozlowski, J. van Mill, and J. J. Walsh, “AR-maps obtained from cell-like maps,” Proc. Am. Math. Soc.,82, No. 2, 299–302 (1981).

    Google Scholar 

  13. J. L. Taylor, “A counterexample in shape theory,” Bull. Am. Math. Soc.,81, 629–632 (1975).

    Google Scholar 

  14. T. Chapman, Lectures on Q-Manifolds [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  15. J. W. Jaworowski, “Symmetric products of ANR's,” Math. Ann.,192, No. 3, 173–176 (1971).

    Google Scholar 

  16. H. Torunczyk, “On CE-images of Hilbert cube and characterization of Q-manifolds,” Fundam. Math.,106, No. 1, 34–40 (1980).

    Google Scholar 

  17. A. Dold, “Homology of symmetric products and other functors of complexes,” Ann. Math.,68, No. 1, 54–80 (1958).

    Google Scholar 

  18. P. A. Smith, “Manifolds with Abelian fundamental groups,” Ann. Math.,37, No. 3, 256–533 (1936).

    Google Scholar 

  19. E. Spanier, Algebraic Topology [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  20. K. Borsuk, Theory of Retracts [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  21. H. Yoshizawa, “On simultaneous extension of continuous functions,” Proc. Imp. Acad. Tokyo,20, 653–654 (1944).

    Google Scholar 

  22. A. Szankowski, “Projective potencies and multiplicative extension operators,” Fundam. Math.,67, 97–113 (1970).

    Google Scholar 

  23. D. S. Pavlovskii, “Spaces of continuous functions,” Dokl. Akad. Nauk SSSR,253, No. 1, 38–41 (1980).

    Google Scholar 

  24. A. V. Arkhangel'skii, “Relations between invariants of topological groups and their subspaces,” Usp. Mat. Nauk,35, No. 3, 3–22 (1980).

    Google Scholar 

  25. V. G. Pestov, “Coincidence of the dimension of dim-L-equivalent topological spaces,” Dokl. Akad. Nauk SSSR,266, No. 3, 553–556 (1982).

    Google Scholar 

  26. A. Pelczynski, “Projections in certain Banach spaces,” Stud. Math.,19, 209–228 (1960).

    Google Scholar 

  27. C. Bessaga, “On topological classification of complete linear metric spaces,” Fundam. Math.,56, 251–288 (1965).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 74–86, May–June, 1986.

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Dranishnikov, A.N. Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence. Sib Math J 27, 366–376 (1986). https://doi.org/10.1007/BF00969273

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  • DOI: https://doi.org/10.1007/BF00969273

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