"direct" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- For the direct limit of a sequence of ultrapowers, see Ultraproduct.
- Take now the direct limit of the 's.
- At limit stages, such as "A", form the direct limit of earlier stages.
- The direct limit can be defined in an arbitrary category by means of a universal property.
- The direct limit of this system is an object in together with morphisms satisfying .
- Unlike for algebraic objects, the direct limit may not exist in an arbitrary category.
- If the collection is directed, its direct limit is the union .
- In the direct limit, this gives a projection P in .
- For some categories C the direct limit used to define the stalk may not exist.
- Therefore the direct limit collapses to yield S as the stalk.
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