Perfect set theorems

Otmar Spinas. "Perfect set theorems." Fundamenta Mathematicae 201.2 (2008): 179-195. <http://eudml.org/doc/283359>.

@article{OtmarSpinas2008,
abstract = {We study splitting, infinitely often equal (ioe) and refining families from the descriptive point of view, i.e. we try to characterize closed, Borel or analytic such families by proving perfect set theorems. We succeed for $G_\{δ\}$ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.},
author = {Otmar Spinas},
journal = {Fundamenta Mathematicae},
keywords = {splitting family; infinitely often equal family; refining family; hereditary; perfect set; 2-colourable hypergraph},
language = {eng},
number = {2},
pages = {179-195},
title = {Perfect set theorems},
url = {http://eudml.org/doc/283359},
volume = {201},
year = {2008},
}

TY - JOUR
AU - Otmar Spinas
TI - Perfect set theorems
JO - Fundamenta Mathematicae
PY - 2008
VL - 201
IS - 2
SP - 179
EP - 195
AB - We study splitting, infinitely often equal (ioe) and refining families from the descriptive point of view, i.e. we try to characterize closed, Borel or analytic such families by proving perfect set theorems. We succeed for $G_{δ}$ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.
LA - eng
KW - splitting family; infinitely often equal family; refining family; hereditary; perfect set; 2-colourable hypergraph
UR - http://eudml.org/doc/283359
ER -