Skip navigation

Please use this identifier to cite or link to this item:
Title: On open-open games of uncountable length
Authors: Kucharski, Andrzej
Keywords: Forcing; Large cardinals; measurable cardinal
Issue Date: 2012
Citation: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 2012, (2012), art. no. 208693
Abstract: The aim of this paper is to investigate the open-open game of uncountable length. We introduce a cardinal number μ(X), which says how long the Player I has to play to ensure a victory. It is proved that c(X) ≤ (X) ≤ c(X) +. We also introduce the class C k of topological spaces that can be represented as the inverse limit of k-complete system {X σ, π ρ σ,Σ} with w (X σ) ≤ k and skeletal bonding maps. It is shown that product of spaces which belong to C k also belongs to this class and μ(X) ≤ k whenever X ∈ C k.
DOI: 10.1155/2012/208693
ISSN: 0161-1712
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Kucharski_On_open_open_games.pdf1,99 MBAdobe PDFView/Open
Show full item record

Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons