14 citations · 44 across the 16 of their papers we have counts for
11 papers · 1 filter
The small index property for countable superatomic boolean algebras
John Kenneth Truss
It is shown that all the countable superatomic boolean algebras of finite rank have the small index property.
Dedekind-finite cardinals having countable partitions
Supakun Panasawatwong, J K Truss
We study the possible structures which can be carried by sets which have no countable subset, but which fail to be `surjectively Dedekind finite', in two possible senses, that ther…
Interpreting the weak monadic second order theory of the ordered rationals
J K Truss
We show that the weak monadic second order theory of the structure is first order interpretable in its automorphism group.
The axiom of choice and model-theoretic structures
J K Truss
We discuss the connections between the failure of the axiom of choice in set theory, and certain model-theoretic structures with enough symmetry.
Interpreting the action of the endomorphism monoid of the rationals
John K Truss, Edith Vargas-Garcia
In this paper, we define the action of , the monoid of embeddings of , on , in the monoid . That is, we show that itself c…
Surjectively rigid chains
Mayra Montalvo-Ballesteros John Truss
We study rigidity properties of linearly ordered sets (chains) under automorphisms, order-embeddings, epimorphisms, and endomorphisms. We focus on two main cases, dense subchains o…