Literature cited
A. V. Arkhangel'skii, “Structure and classification of topological spaces and cardinal invariants,” Usp. Mat. Nauk,33, No. 6, 29–34 (1978).
A. V. Arkhangel'skii, “Continuous maps, factorization theorems, and spaces of functions,” Tr. Mosk. Mat. Obshch.,47, 3–21 (1984).
A. V. Arkhangel'skii, “Spaces of functions in the pointwise convergence topology. Part I,” in: General Topology. Functions, Spaces, and Dimensionality [in Russian], Izd. Mosk. Gos. Univ. (1985), pp. 3–66.
M. M. Day, Normed Linear Spaces (3rd edn.), Springer, Berlin (1973).
S. P. Gul'ko and A. V. Os'kin, “Isomorphic classification of spaces of continuous functions on totally ordered bicompacta,” Funkts. Anal. Prilozhen.,9, No. 1, 61–62 (1975).
S. P. Gul'ko and T. E. Khmyleva, “Compactness is not preserved by the relation of t-equivalence,” Mat. Zametki,39, No. 6, 895–903 (1986).
S. V. Kislyakov, “Isomorphic classification of spaces of continuous functions on ordinals,” Sib. Mat. Zh.,16, No. 3, 293–300 (1975).
V. V. Tkachuk, “On cardinal invariants of the type of the Suslin number,” Dokl. Akad. Nauk SSSR,270, No. 4, 795–798 (1983).
W. W. Comfort and S. Negrepontis, The Theory of Ultrafilters, Springer, Berlin-New York (1974).
A. Pelczynski, “Projections in certain Banach spaces,” Stud. Math.,19, 209–228 (1960).
R. Pol, “An infinite-dimensional pre-Hilbert space not homeomorphic to its own square,” Proc. Am. Math. Soc.,90, No. 3, 450–454 (1984).
Z. Semadeni, “Banach spaces nonisomorphic to their Cartesian squares,” Bull. Acad. Polon. Sci. Ser. Math.,8, 81–84 (1960).
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Translated from Matematicheskie Zametki, Vol. 47, No. 4, pp. 26–34, April, 1990.
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Gul'ko, S.P. Spaces of continuous functions on ordinals and ultrafilters. Mathematical Notes of the Academy of Sciences of the USSR 47, 329–334 (1990). https://doi.org/10.1007/BF01163812
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DOI: https://doi.org/10.1007/BF01163812