For any two linear orderings L and M, the representability number repr_M(L) of L in M is the least ordinal α such that L can be order-embedded into the lexicographic power M^α_lex. We study repr_M(L) in the particular case that L is a lexicographic product and M is a Dedekind-complete chain.
On the representability number of lexicographic products in a Dedekind-complete chain
GIARLOTTA, Alfio
2013-01-01
Abstract
For any two linear orderings L and M, the representability number repr_M(L) of L in M is the least ordinal α such that L can be order-embedded into the lexicographic power M^α_lex. We study repr_M(L) in the particular case that L is a lexicographic product and M is a Dedekind-complete chain.File in questo prodotto:
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