# A Dichotomy Principle for Universal Series

Bulletin of the Polish Academy of Sciences. Mathematics (2008)

- Volume: 56, Issue: 2, page 93-104
- ISSN: 0239-7269

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topV. Farmaki, and V. Nestoridis. "A Dichotomy Principle for Universal Series." Bulletin of the Polish Academy of Sciences. Mathematics 56.2 (2008): 93-104. <http://eudml.org/doc/281182>.

@article{V2008,

abstract = {Applying results of the infinitary Ramsey theory, namely the dichotomy principle of Galvin-Prikry, we show that for every sequence $(α_\{j\})_\{j=1\}^\{∞\}$ of scalars, there exists a subsequence $(α_\{k_j\})_\{j=1\}^\{∞\}$ such that either every subsequence of $(α_\{k_j\})_\{j=1\}^\{∞\}$ defines a universal series, or no subsequence of $(α_\{k_j\})_\{j=1\}^\{∞\}$ defines a universal series. In particular examples we decide which of the two cases holds.},

author = {V. Farmaki, V. Nestoridis},

journal = {Bulletin of the Polish Academy of Sciences. Mathematics},

keywords = {universal series; Galvin-Prikry theorem},

language = {eng},

number = {2},

pages = {93-104},

title = {A Dichotomy Principle for Universal Series},

url = {http://eudml.org/doc/281182},

volume = {56},

year = {2008},

}

TY - JOUR

AU - V. Farmaki

AU - V. Nestoridis

TI - A Dichotomy Principle for Universal Series

JO - Bulletin of the Polish Academy of Sciences. Mathematics

PY - 2008

VL - 56

IS - 2

SP - 93

EP - 104

AB - Applying results of the infinitary Ramsey theory, namely the dichotomy principle of Galvin-Prikry, we show that for every sequence $(α_{j})_{j=1}^{∞}$ of scalars, there exists a subsequence $(α_{k_j})_{j=1}^{∞}$ such that either every subsequence of $(α_{k_j})_{j=1}^{∞}$ defines a universal series, or no subsequence of $(α_{k_j})_{j=1}^{∞}$ defines a universal series. In particular examples we decide which of the two cases holds.

LA - eng

KW - universal series; Galvin-Prikry theorem

UR - http://eudml.org/doc/281182

ER -

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