References
E. Michael, “Continuous selections. II,” Ann. of Math. (2),64, No. 3, 562–580 (1956).
V. V. Fedorchuk, and V. V. Filippov, General Topology. Basic Constructions [in Russian], Moscow Univ., Moscow (1988).
E. Michael, “Continuous selections and finite-dimensional sets,” Pacific J. Math.,87, 189–197 (1980).
S. T. Hu, Theory of Retracts, Wayne State Univ. Press, Detroit (1965).
C. Bessaga and A. Pelczynski, Selected Topics in Infinite-Dimensional Topology, Warszawa (1975).
D. Repovs and P. Semenov, A. Survey of E. Michael's Theory of Continuous Selections and Its Applications [Preprint, No. 31], Lubljana (1993).
Additional information
The first author was partially supported by the International Science Foundation (Grant N NFU000) and the Russian Foundation for Basic Research (Grant 93-011-1402); the second author was partially supported by the Ministry for Science and Education of Slovenia (Grant J1-7039-0101-95).
Brest. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 5, pp. 971–981, September–October, 1998.
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Ageev, S.M., Repovs, D. A total finite-dimensional selection theorem. Sib Math J 39, 835–843 (1998). https://doi.org/10.1007/BF02672905
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DOI: https://doi.org/10.1007/BF02672905