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Free subalgebras of complette Boolean algebras and spaces of continuous functions. (English. Russian original) Zbl 0286.46029
Sib. Math. J. 14(1973), 395-403 (1974); translation from Sib. Mat. Zh. 14, 569-581 (1973).

MSC:
46E05 Lattices of continuous, differentiable or analytic functions
06E05 Structure theory of Boolean algebras
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[1] H. P. Rosenthal, ?On injective Banach spaces and spaces L? (?) for finite measures ?,? Acta. Math.,124, 205?248 (1970). · Zbl 0207.42803 · doi:10.1007/BF02394572
[2] D. A. Vladimirov, Boolean Algebra [in Russian], Nauka, Moscow (1969).
[3] R. Sikorskii, Boolean Algebra [in Russian], Mir, Moscow (1969).
[4] D. A. Vladimirov and B. A. Efimov, ?The cardinality of extremally-disconnected bicompacts and complete Boolean algebras,? Dokl. Akad. Nauk SSSR,194, No. 6, 1247?1250 (1970).
[5] K. Kuratovskii and A. Mostovskii, The Theory of Sets [in Russian], Mir, Moscow (1970).
[6] N. Burbaki, The Theory of Sets [Russian translation], Mir, Moscow (1965).
[7] P. Erdos and A. Tarski ?On families of mutually exclusive sets,? Ann. Math.,44, 315?329 (1943). · Zbl 0060.12602 · doi:10.2307/1968767
[8] B. A. Efimov, ?Extremally disconnected bicompacts and absolutes,? Trudy Mosk. Matem. O-va,23, 235?276 (1970). · Zbl 0227.54017
[9] R. S. Pierce, ?A note on complete Boolean algebras,? Proc. Am. Math. Soc.,9, 892?896 (1958). · Zbl 0092.03402 · doi:10.1090/S0002-9939-1958-0102487-6
[10] Z. Frolik, ?Maps of extremally disconnected spaces, theory of types, and applications,? Proc. Kanpur Topological Conference, 1968, Academia, Prague (1971), pp. 131?142.
[11] A. M. Gleason, ?Projective topological spaces, III,? J. Math.,2, 482?489 (1958). · Zbl 0083.17401
[12] H. B. Cohen, ?Injective envelopes of Banach spaces,? Bull. Am. Math. Soc.,70, 723?726 (1964). · Zbl 0124.06505 · doi:10.1090/S0002-9904-1964-11189-7
[13] M. M. Day, Normed Linear Spaces [Russian translation], IL, Moscow (1961). · Zbl 0098.30401
[14] N. A. Shanin, ?Products of topological spaces,? Trudy Matem. In-ta Akad. Nauk SSSR, 24 (1948).
[15] R. Engelking and A. Pelczynski ?Remarks on dyadic spaces,? Colloq. Math.,11, 55?63 (1969).
[16] A. Pelczynski, ?On the isomorphism of spaces m and M,? Bull. Acad. Pol. Sci., Ser. Sci., Math., Astron., et Phys.,6, 695?696 (1958).
[17] K. A. Ross and A. H. Stone ?Products of separable spaces,? Am. Math. Monthly,71, 398?403 (1964). · Zbl 0119.38202 · doi:10.2307/2313241
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