Set-theoretic characteristics of summability of sequences and convergence of series

Peter Vojtáš

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 1, page 173-183
  • ISSN: 0010-2628

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Vojtáš, Peter. "Set-theoretic characteristics of summability of sequences and convergence of series." Commentationes Mathematicae Universitatis Carolinae 028.1 (1987): 173-183. <http://eudml.org/doc/17524>.

@article{Vojtáš1987,
author = {Vojtáš, Peter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {speed of convergence; regular Toeplitz matrices; cardinal characteristics},
language = {eng},
number = {1},
pages = {173-183},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Set-theoretic characteristics of summability of sequences and convergence of series},
url = {http://eudml.org/doc/17524},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Vojtáš, Peter
TI - Set-theoretic characteristics of summability of sequences and convergence of series
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 1
SP - 173
EP - 183
LA - eng
KW - speed of convergence; regular Toeplitz matrices; cardinal characteristics
UR - http://eudml.org/doc/17524
ER -

References

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  1. B. Balcar P. Simon, Disjoint refinement, To appear in the Handbook of Boolean algebras. MR0991597
  2. N. N. Cholščevnikova, Unsolvability of several questions of convergence of series, Mat. Zametki 34, 5 (1983) 711-718. (1983) MR0728170
  3. G. Choquet, Deux classes reroarquables d'ultrafliters sur N. Bull. Sc. math., série, t. 92, 1968, 143-153. (1968) MR0236860
  4. R. G. Cooke, Infinite Matrices and Sequence Spaces, Mac. Millan Co., London 1950. (1950) Zbl0040.02501MR0040451
  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. (1984) Zbl0561.54004MR0776619
  6. P. Erdös G. Piranian, The topologization of a sequence space by Toeplitz matrices, Michigan Math. J. 5, 2 (1958), 139-148. (1958) MR0102010
  7. G. M. Fichtengolz, Course of Differential and Integral Calculus, Vol. 2. Nauka. Moscow 1969. (1969) 
  8. T. Jech, Set-theory, Academic Press. New York, 1978. (1978) Zbl0419.03028MR0506523
  9. N. Luzin, Sur un problème de M. Baire, C. R. Hebdomadsires Séances Acad. Sci. Paris, 158 (1914), 1258-1261. (1914) 
  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. (1980) MR0603221

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