Partial Results in Δ-Categoricity in Linear Orderings and Boolean Algebras.

Autor: McCoy, Ch.
Zdroj: Algebra & Logic; Sep2002, Vol. 41 Issue 5, p295-305, 11p
Abstrakt: The notion of Δ-categoricity in linear orderings and Boolean algebras is examined. We provide a proof for the fact that there are uncountably many relatively Δ-categorical linear orderings, and furnish a proof of another fact which suggests that the (unrelatively) Δ-categorical linear orderings may be very difficult to classify. In stark contrast to these results for linear orderings, a complete classification of the relatively Δ-categorical Boolean algebras is given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index