期刊： FUNDAMENTA MATHEMATICAE, 2021; 252 (3)
We prove that (1) for any complete lattice L, the set D(L) of all non-empty saturated compact subsets of the Scott space of L is a complete Heyting al......
期刊： FUNDAMENTA MATHEMATICAE, 2020; 250 (2)
Working in a theory with an integer-valued dimension on interpretable sets, we classify pseudofinite definably primitive permutation groups acting on ......
期刊： FUNDAMENTA MATHEMATICAE, 2020; 249 (1)
For a group G, let g (G) be the lattice of all topological group topologies on G. We prove that if G is abelian, tau, sigma is an element of g (G) and......
期刊： FUNDAMENTA MATHEMATICAE, 2019; 244 (2)
Minimal groups are Hausdorff topological groups G satisfying the open mapping theorem with respect to continuous isomorphisms, i.e., every continuous ......
期刊： FUNDAMENTA MATHEMATICAE, 2019; 244 (1)
In this paper, the main focus is on the Sierpinski carpet Julia sets of rational maps with non-recurrent critical points. We study the uniform quasici......
期刊： FUNDAMENTA MATHEMATICAE, 2019; 247 (2)
We initiate the study of p-adic algebraic groups G from the stability-theoretic and definable topological-dynamical points of view, that is, we consid......
期刊： FUNDAMENTA MATHEMATICAE, 2017; 236 (3)
We prove that a strong version of Chang's Conjecture implies both the Strong Tree Property for omega(2) and the negation of the square principle squar......
期刊： FUNDAMENTA MATHEMATICAE, 2017; 236 (2)
It is shown that every non-periodic ergodic system has two topologically weakly mixing, fully supported models: one is non-minimal but has a dense set......
期刊： FUNDAMENTA MATHEMATICAE, 2017; 237 (2)
Let {f(i)}(i=1)(m) be an iterated function system (IFS) for a self-similar set E subset of R-d (which is not a singleton) with the smallest integer m ......
