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出典:『Wikipedia』 (2010/05/21 00:34 UTC 版)

英語による解説

引用

In mathematics, specifically set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limit suprema of all ordinals in previous ones. 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 Alternatively, s is continuous if s: γ → range(s) is a continuous function when the sets are each equipped with the order topology.