Covering a bounded set of functions by an increasing chain of slaloms |
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Authors: | Masaru Kada |
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Institution: | Graduate School of Science, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan |
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Abstract: | A slalom is a sequence of finite sets of length ω. Slaloms are ordered by coordinatewise inclusion with finitely many exceptions. Improving earlier results of Mildenberger, Shelah and Tsaban, we prove consistency results concerning existence and non-existence of an increasing sequence of a certain type of slaloms which covers a bounded set of functions in ωω. |
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Keywords: | primary 03E17 secondary 03E35 |
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