Literature cited
P. J. Cohen, Set Theory and the Continuum Hypothesis, Benjamin, New York (1966).
T. J. Jech, “Lectures in set theory with particular emphasis on the method of forcing,” Lect. Notes Math.,217, Springer-Verlag, Berlin-New York (1971).
R. Cooke, Infinite Matrices and Sequence Spaces, Dover, New York.
A. M. Olevskii, “On linear methods of summation,” Dokl. Akad. Nauk SSSR,120, No. 4, 701–704 (1958).
P. Erdös and G. Piranian, “The topologization of a sequence space by Toeplitz matrices,” Michigan Math. J.,5, No. 2, 139–148 (1958).
D. Booth, “Ultrafilters on countable set,” Ann. Math. Log.,2, No. 1, 1–24 (1970).
M. Henricksen, “Multiplicative summability methods and the Stone-Čech compactification,” Math. Z.,71, 427–435 (1959).
W. Rudin, “Homogeneity problems in the theory of Čech compactifications,” Duke Math. J.,23, 409–420 (1956).
K. Kunen, “On the compactification of the integers,” Notices Am. Math. Soc.,17, No. 1, 299 (1970).
K. Kunen, “Ultrafilters and independent sets,” Trans. Am. Math. Soc,172, 299–306 (1972).
S. H. Hechler, “Classifying almost disjoint families with applications to βN∖N,” Isr. J. Math.,10, No. 4, 413–432 (1971).
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Translated from Matematicheskie Zametki, Vol. 28, No. 6, pp. 869–882, December, 1980.
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Malykhin, V.I., Kholshchevnikova, N.N. Independence of two set-theoretic statements in the theory of summation. Mathematical Notes of the Academy of Sciences of the USSR 28, 889–896 (1980). https://doi.org/10.1007/BF01709151
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DOI: https://doi.org/10.1007/BF01709151