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 |
. |
Category:
|
math |
. |
MSC:
|
03E05 |
MSC:
|
40A05 |
MSC:
|
40C05 |
idZBL:
|
Zbl 0651.40001 |
idMR:
|
MR889779 |
. |
Date available:
|
2008-06-05T21:28:05Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106520 |
. |
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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