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Title: Set-theoretic characteristics of summability of sequences and convergence of series (English)
Author: Vojtáš, Peter
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 28
Issue: 1
Year: 1987
Pages: 173-183
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Category: math
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MSC: 03E05
MSC: 40A05
MSC: 40C05
idZBL: Zbl 0651.40001
idMR: MR889779
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Date available: 2008-06-05T21:28:05Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106520
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Reference: [1] B. Balcar P. Simon: Disjoint refinement.To appear in the Handbook of Boolean algebras. MR 0991597
Reference: [2] N. N. Cholščevnikova: Unsolvability of several questions of convergence of series.Mat. Zametki 34, 5 (1983) 711-718. MR 0728170
Reference: [3] G. Choquet: Deux classes reroarquables d'ultrafliters sur N. Bull. Sc. math..$2^e$ série, t. 92, 1968, 143-153. MR 0236860
Reference: [4] R. G. Cooke: Infinite Matrices and Sequence Spaces.Mac. Millan Co., London 1950. Zbl 0040.02501, MR 0040451
Reference: [5] E. K. van Douwen: The integers and topology.In Handbook of set-theoretic topology (ed. by J. Vaughan and K. Kunen). North Holland, Amsterdam, 1984, 111-167. Zbl 0561.54004, MR 0776619
Reference: [6] P. Erdös G. Piranian: The topologization of a sequence space by Toeplitz matrices.Michigan Math. J. 5, 2 (1958), 139-148. MR 0102010
Reference: [7] G. M. Fichtengolz: Course of Differential and Integral Calculus.Vol. 2. Nauka. Moscow 1969.
Reference: [8] T. Jech: Set-theory.Academic Press. New York, 1978. Zbl 0419.03028, MR 0506523
Reference: [9] N. Luzin: Sur un problème de M. Baire.C. R. Hebdomadsires Séances Acad. Sci. Paris, 158 (1914), 1258-1261.
Reference: [10] V. I. Malychin N. N. Cholščevnikova: Independence of two set-theoretic statements in the theory of summation.Mat. Zametki 28, 6 (1980), 869-882. MR 0603221
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