Roundings in partially ordered topological spaces (Q366053)
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scientific article; zbMATH DE number 6207346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Roundings in partially ordered topological spaces |
scientific article; zbMATH DE number 6207346 |
Statements
Roundings in partially ordered topological spaces (English)
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11 September 2013
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The paper contributes to the axiomatic theory of roundings as they occur in actual computer computations. Interval roundings are investigated in the framework of the general theory of partially ordered topological spaces. In particular, the author establishes some general properties of roundings, (partly) characterizes them in the class of isotone mappings, and constructs a functional model of interval roundings, which sometimes reduces studying properties of roundings to analysing purely analytic questions.
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rounding
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partially ordered topological space
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extreme point
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Hyers-Ulam stability
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