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Translations for „supercompact“ in the English » German Dictionary (Go to German » English)

super·com·ˈpact ADJ inv

supercompact

Monolingual examples (not verified by PONS Editors)

English
Finding a canonical inner model for supercompact cardinals is one of the major problems of inner model theory.
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A measurable limit of strongly compact cardinals is strongly compact, but the least such limit is not supercompact.
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Some set theorists conjecture that existence of a strongly compact cardinal is equiconsistent with that of a supercompact cardinal.
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However, a proof is unlikely until a canonical inner model theory for supercompact cardinals is developed.
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In a supercompact space (or any continuous image of one), the cluster point of any countable subset is the limit of a nontrivial convergent sequence.
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Conversely, many (but not all) compact spaces are supercompact.
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The relationship is analogous to that of extendible versus supercompact cardinals.
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He proved that the least strongly compact cardinal can be equal to the least measurable cardinal or to the least supercompact cardinal (but not at the same time).
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