When ℵ₁ many sets are contained in a countably generated σ-field
Colloquium Mathematicae (2009)
- Volume: 115, Issue: 1, page 41-45
- ISSN: 0010-1354
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topR. Drabiński, and E. Grzegorek. "When ℵ₁ many sets are contained in a countably generated σ-field." Colloquium Mathematicae 115.1 (2009): 41-45. <http://eudml.org/doc/283771>.
@article{R2009,
abstract = {We discuss the problem when ℵ₁ sets are contained in a σ-generated σ-field on some set X. This is related to a problem raised by K. P. S. Bhaskara Rao and Rae Michael Shortt [Dissertationes Math. 372 (1998)] which we answer. We also briefly discuss generating the family of all subsets from rectangles.},
author = {R. Drabiński, E. Grzegorek},
journal = {Colloquium Mathematicae},
keywords = {minimal generator; -field; -algebra; countably generated; },
language = {eng},
number = {1},
pages = {41-45},
title = {When ℵ₁ many sets are contained in a countably generated σ-field},
url = {http://eudml.org/doc/283771},
volume = {115},
year = {2009},
}
TY - JOUR
AU - R. Drabiński
AU - E. Grzegorek
TI - When ℵ₁ many sets are contained in a countably generated σ-field
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 1
SP - 41
EP - 45
AB - We discuss the problem when ℵ₁ sets are contained in a σ-generated σ-field on some set X. This is related to a problem raised by K. P. S. Bhaskara Rao and Rae Michael Shortt [Dissertationes Math. 372 (1998)] which we answer. We also briefly discuss generating the family of all subsets from rectangles.
LA - eng
KW - minimal generator; -field; -algebra; countably generated;
UR - http://eudml.org/doc/283771
ER -
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