Covering numbers associated with trees branching into a countably generated set of possibilities (Q1978956)
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scientific article; zbMATH DE number 1449512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering numbers associated with trees branching into a countably generated set of possibilities |
scientific article; zbMATH DE number 1449512 |
Statements
Covering numbers associated with trees branching into a countably generated set of possibilities (English)
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21 May 2000
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The author generalizes the notion of meager for subsets of \({\mathbb R}\) and points out the connection with infinitary combinatorial properties. Especially the connection with suitable trees of countable structures are described. Using the method of forcing he proves the consistency of covering numbers for two covers (being in a sense coherent). The work is designated only to specialists in the branch.
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\({\mathcal A}\)-very meager
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\({\mathcal B}\)-tree
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cover
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Lusin set
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Cohen forcing
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trees of countable structures
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covering numbers
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