Ideals which generalize (v 0)

Piotr Kalemba; Szymon Plewik

Open Mathematics (2010)

  • Volume: 8, Issue: 6, page 1016-1025
  • ISSN: 2391-5455

Abstract

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Countable products of finite discrete spaces with more than one point and ideals generated by Marczewski-Burstin bases (assigned to trimmed trees) are examined, using machinery of base tree in the sense of B. Balcar and P. Simon. Applying Kulpa-Szymanski Theorem, we prove that the covering number equals to the additivity or the additivity plus for each of the ideals considered.

How to cite

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Piotr Kalemba, and Szymon Plewik. "Ideals which generalize (v 0)." Open Mathematics 8.6 (2010): 1016-1025. <http://eudml.org/doc/269000>.

@article{PiotrKalemba2010,
abstract = {Countable products of finite discrete spaces with more than one point and ideals generated by Marczewski-Burstin bases (assigned to trimmed trees) are examined, using machinery of base tree in the sense of B. Balcar and P. Simon. Applying Kulpa-Szymanski Theorem, we prove that the covering number equals to the additivity or the additivity plus for each of the ideals considered.},
author = {Piotr Kalemba, Szymon Plewik},
journal = {Open Mathematics},
keywords = {Base tree; Fusion relation; Trimmed tree; add (d 0(V)); cov (d 0(V)); base tree; fusion relation; trimmed tree},
language = {eng},
number = {6},
pages = {1016-1025},
title = {Ideals which generalize (v 0)},
url = {http://eudml.org/doc/269000},
volume = {8},
year = {2010},
}

TY - JOUR
AU - Piotr Kalemba
AU - Szymon Plewik
TI - Ideals which generalize (v 0)
JO - Open Mathematics
PY - 2010
VL - 8
IS - 6
SP - 1016
EP - 1025
AB - Countable products of finite discrete spaces with more than one point and ideals generated by Marczewski-Burstin bases (assigned to trimmed trees) are examined, using machinery of base tree in the sense of B. Balcar and P. Simon. Applying Kulpa-Szymanski Theorem, we prove that the covering number equals to the additivity or the additivity plus for each of the ideals considered.
LA - eng
KW - Base tree; Fusion relation; Trimmed tree; add (d 0(V)); cov (d 0(V)); base tree; fusion relation; trimmed tree
UR - http://eudml.org/doc/269000
ER -

References

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