Geodesic
Partial Results in $\Delta_3^0$-Categoricity in Linear Orderings and Boolean Algebras
Algebra i logika, Tome 41 (2002) no. 5, pp. 531-552

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The notion of $\Delta_3^0$-categoricity in linear orderings and Boolean algebras is examined. We provide a proof for the fact that there are uncountably many relatively $\Delta_3^0$-categorical linear orderings, and furnish a proof of another fact which suggests that the (unrelatively) $\Delta_3^0$-categorical linear orderings may be very difficult to classify. In stark contrast to these results for linear orderings, a complete classification of the relatively $\Delta_3^0$-categorical Boolean algebras is given.
Keywords: linear ordering, Boolean algebra, $\Delta_3^0$-categoricity. 
@article{AL_2002_41_5_a1,
     author = {Ch. F. McCoy},
     title = {Partial {Results} in $\Delta_3^0${-Categoricity} in {Linear} {Orderings} and {Boolean} {Algebras}},
     journal = {Algebra i logika},
     pages = {531--552},
     publisher = {mathdoc},
     volume = {41},
     number = {5},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2002_41_5_a1/}
}
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Ch. F. McCoy. Partial Results in $\Delta_3^0$-Categoricity in Linear Orderings and Boolean Algebras. Algebra i logika, Tome 41 (2002) no. 5, pp. 531-552. http://geodesic.mathdoc.fr/item/AL_2002_41_5_a1/