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- Continuous_function_(set_theory) abstract "In mathematics, specifically set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and be a γ-sequence of ordinals. Then s is continuous if at every limit ordinal β < γ,andAlternatively, s is continuous if s: γ → range(s) is a continuous function when the sets are each equipped with the order topology. These continuous functions are often used in cofinalities and cardinal numbers.".
- Continuous_function_(set_theory) wikiPageID "12089705".
- Continuous_function_(set_theory) wikiPageRevisionID "544970583".
- Continuous_function_(set_theory) hasPhotoCollection Continuous_function_(set_theory).
- Continuous_function_(set_theory) subject Category:Ordinal_numbers.
- Continuous_function_(set_theory) subject Category:Set_theory.
- Continuous_function_(set_theory) type Abstraction100002137.
- Continuous_function_(set_theory) type DefiniteQuantity113576101.
- Continuous_function_(set_theory) type Measure100033615.
- Continuous_function_(set_theory) type Number113582013.
- Continuous_function_(set_theory) type OrdinalNumber113597280.
- Continuous_function_(set_theory) type OrdinalNumbers.
- Continuous_function_(set_theory) comment "In mathematics, specifically set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and be a γ-sequence of ordinals. Then s is continuous if at every limit ordinal β < γ,andAlternatively, s is continuous if s: γ → range(s) is a continuous function when the sets are each equipped with the order topology.".
- Continuous_function_(set_theory) label "Continuous function (set theory)".
- Continuous_function_(set_theory) sameAs m.02vph4r.
- Continuous_function_(set_theory) sameAs Q5165476.
- Continuous_function_(set_theory) sameAs Q5165476.
- Continuous_function_(set_theory) sameAs Continuous_function_(set_theory).
- Continuous_function_(set_theory) wasDerivedFrom Continuous_function_(set_theory)?oldid=544970583.
- Continuous_function_(set_theory) isPrimaryTopicOf Continuous_function_(set_theory).