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• W2606178503 abstract "We study an infinite countable iteration of the natural product between ordinals. We present an effective way to compute this countable natural product, in the non trivial cases the result depends only on the natural sum of the degrees of the factors, where the degree of a nonzero ordinal is the largest exponent in its Cantor normal form representation. Thus we are able to lift former results about infinitary sums to infinitary products. Finally, we provide an order-theoretical characterization of the infinite natural product, this characterization merges in a nontrivial way a theorem by Carruth describing the natural product of two ordinals and a known description of the ordinal product of a possibly infinite sequence of ordinals." @default.
• W2606178503 created "2017-04-28" @default.
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• W2606178503 date "2018-08-24" @default.
• W2606178503 modified "2023-10-16" @default.
• W2606178503 title "An Infinite Natural Product" @default.
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• W2606178503 doi "https://doi.org/10.1515/amsil-2017-0013" @default.
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