Diagonalizations of dense families (Q2437647)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diagonalizations of dense families |
scientific article |
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Diagonalizations of dense families (English)
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13 March 2014
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dense families
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selection principles
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\(\mathrm S_{\mathrm{fin}}(\mathrm O,\mathrm O)\)
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Hurewicz property
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Menger property
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\(\mathrm S_1(\mathrm O,\mathrm O)\)
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\(\mathrm C^{\prime\prime}\)
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Rothberger property
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\(\mathrm S_{\mathrm{fin}}(\mathrm D,\mathrm D)\)
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\(\mathrm S_{\mathrm{fin}}(\mathfrak D,\mathfrak D)\)
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\(\mathrm S_{\mathrm{fin}}(\mathcal D,\mathcal D)\)
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M-separable
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selectively separable
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SS
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\(\mathrm S_1(\mathrm D,\mathrm D)\)
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\(\mathrm S_1(\mathfrak D,\mathfrak D)\)
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\(\mathrm S_1(\mathcal D,\mathcal D)\)
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R-separable
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\(\mathrm S_{\mathrm{fin}}(\mathrm D_{\mathrm o},\mathrm D)\)
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tiny sequence
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\(\mathrm S_1(\mathrm D_{\mathrm o},\mathrm D)\)
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1-tiny sequence
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selectively c.c.c.
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\(\mathrm S_{\mathrm{fin}}(\mathrm O,\mathrm D)\)
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weakly Hurewicz
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weakly Menger
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\(\mathrm S_1(\mathrm O,\mathrm D)\)
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weakly \(\mathrm C^{\prime\prime}\)
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\(\mathrm S_1(\mathcal O,\mathcal D)\)
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weakly Rothberger
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