http://hdl.handle.net/20.500.12128/9500
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. |
URI: | http://hdl.handle.net/20.500.12128/9500 |
DOI: | 10.1155/2012/208693 |
ISSN: | 0161-1712 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Kucharski_On_open_open_games.pdf | 1,99 MB | Adobe PDF | View/Open |
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