Stable families of analytic sets

Pandelis Dodos

Colloquium Mathematicae (2003)

  • Volume: 98, Issue: 2, page 277-281
  • ISSN: 0010-1354

Abstract

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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.

How to cite

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Pandelis Dodos. "Stable families of analytic sets." Colloquium Mathematicae 98.2 (2003): 277-281. <http://eudml.org/doc/284396>.

@article{PandelisDodos2003,
abstract = {We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.},
author = {Pandelis Dodos},
journal = {Colloquium Mathematicae},
keywords = {analytic sets; Polish space},
language = {eng},
number = {2},
pages = {277-281},
title = {Stable families of analytic sets},
url = {http://eudml.org/doc/284396},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Pandelis Dodos
TI - Stable families of analytic sets
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 2
SP - 277
EP - 281
AB - We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.
LA - eng
KW - analytic sets; Polish space
UR - http://eudml.org/doc/284396
ER -

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