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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/15877
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