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A first-order theory T has the Schr╫der-Bernstein (SB) property if any pair of elementarily bi-embeddable models are isomorphic. We prove that T has an expansion by constants with the SB property if...
For a countable, weakly minimal theory T, we show that the SchröderBernstein property (any two elementarily bi-embeddable models are isomorphic) is equivalent to each of the following: 1. For ...
We initiate a systematic study of the class of theories without the tree property of the second kind -- NTP2. Most importantly, we show: the burden is "sub-multiplicative" in arbitrary theories (in pa...
A first-order theory T has the Schr\"oder-Bernstein (SB) property if any pair of elementarily bi-embeddable models are isomorphic. We prove that T has an expansion by constants that has the SB propert...
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness notion from algorith...
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
We derive explicitly the coupling property for the transition semigroup of a L\'evy process and gradient estimates for the associated semigroup of transition operators. This is based on the asymptoti...
Over C and over non-archimedean elds, analyti cation of algebraic spaces is de ned as the solution to a quotient problem. Such analyti cation is interesting, since in the proper case it beautifully ...
R will be an associative ring with identity and modules M will be unital left R- modules. In this work, extending modules and lifting modules with the SSP (or SIP) are studied. A necessary and suffici...
Hausdorff's paradoxical decomposition of a sphere with countably many points removed (the main precursor of the Banach-Tarski paradox) actually produced a partition of this set into three pieces A,B,...

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