The topology of a moduli space for linear dynamical systems.
The topology of the unit interval is not uniquely determined by its continuous self maps among set systems
The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: A new Proof. equivalent propositions.
The universal minimal system for the group of homeomorphisms of the Cantor set
Each topological group G admits a unique universal minimal dynamical system (M(G),G). For a locally compact noncompact group this is a nonmetrizable system with a rich structure, on which G acts effectively. However there are topological groups for which M(G) is the trivial one-point system (extremely amenable groups), as well as topological groups G for which M(G) is a metrizable space and for which one has an explicit description. We show that for the topological group G = Homeo(E) of self-homeomorphisms...
The universal semilattice compactification of a semigroup.
The variational principle
The variational principle of fixed point theorems in certain fuzzy topological spaces
The main purpose of this paper is to introduce the concept of -type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the -type fuzzy topological spaces.
The Williams conjecture is false for irreducible subshifts.
The Williams conjecture is false for irreducible subshifts.
The σ-ideal of closed smooth sets does not have the covering property
We prove that the σ-ideal I(E) (of closed smooth sets with respect to a non-smooth Borel equivalence relation E) does not have the covering property. In fact, the same holds for any σ-ideal containing the closed transversals with respect to an equivalence relation generated by a countable group of homeomorphisms. As a consequence we show that I(E) does not have a Borel basis.
Theorem on signatures
Théorème d'approximation et espaces de Hopf.
Théorêmes de point fixe pour les applications contractantes et anticontractantes.
Theorems on common fixed points
Theorems on mappings satisfying a rational inequality
Theorems on multifunctions satisfying a rational inequality
Théorie des points fixes. Commutativité de l'indice total
Théorie unifiée des capacités et des ensembles analytiques
Theory of processes, I
Theory of processes, II