$P_{\lambda }$-sets and skeletal mappings

Aleksander Błaszczyk, and Anna Brzeska. "$P_{λ}$-sets and skeletal mappings." Colloquium Mathematicae 131.1 (2013): 89-98. <http://eudml.org/doc/283708>.

@article{AleksanderBłaszczyk2013,
abstract = {We prove that if the topology on the set Seq of all finite sequences of natural numbers is determined by $P_λ$-filters and λ ≤ , then Seq is a $P_λ$-set in its Čech-Stone compactification. This improves some results of Simon and of Juhász and Szymański. As a corollary we obtain a generalization of a result of Burke concerning skeletal maps and we partially answer a question of his.},
author = {Aleksander Błaszczyk, Anna Brzeska},
journal = {Colloquium Mathematicae},
keywords = {sequence; filter; skeletal mapping},
language = {eng},
number = {1},
pages = {89-98},
title = {$P_\{λ\}$-sets and skeletal mappings},
url = {http://eudml.org/doc/283708},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Aleksander Błaszczyk
AU - Anna Brzeska
TI - $P_{λ}$-sets and skeletal mappings
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 1
SP - 89
EP - 98
AB - We prove that if the topology on the set Seq of all finite sequences of natural numbers is determined by $P_λ$-filters and λ ≤ , then Seq is a $P_λ$-set in its Čech-Stone compactification. This improves some results of Simon and of Juhász and Szymański. As a corollary we obtain a generalization of a result of Burke concerning skeletal maps and we partially answer a question of his.
LA - eng
KW - sequence; filter; skeletal mapping
UR - http://eudml.org/doc/283708
ER -