On the Representability Number of Lexicographic Products in a Dedekind-Complete Chain

نویسنده

  • Alfio Giarlotta
چکیده

For any two linear orderings L and M , the representability number reprM (L) of L in M is the least ordinal α such that L can be orderembedded into the lexicographic power Mα lex. We study reprM (L) in the particular case that L is a lexicographic product and M is a Dedekindcomplete chain. Mathematics Subject Classification: Primary: 06A05; Secondary: 03E05, 54F05, 91B16

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تاریخ انتشار 2013