A topology on the union of the double arrow space and the integers (Q1095443)
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scientific article; zbMATH DE number 4028392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topology on the union of the double arrow space and the integers |
scientific article; zbMATH DE number 4028392 |
Statements
A topology on the union of the double arrow space and the integers (English)
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1988
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We construct a topology on the union of the double arrow space (Cantor set version) and the integers which is a hereditarily Lindelöf hereditarily separable 0-dimensional compact Hausdorff space but not the continuous image of a closed subspace of the product of the double arrow space and the closed unit interval (answering a question of Fremlin).
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two arrow space
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double arrow space
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hereditarily Lindelöf hereditarily separable 0-dimensional compact Hausdorff space
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closed unit interval
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0.8800355
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0.8768013
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0.8752183
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0.86369574
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0.86367965
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0.85874695
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