On endomorphism semigroups of a fuzzily structured set
On entropy of patterns given by interval maps
Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].
On enveloping semigroups of almost one-to-one extensions of minimal group rotations
We consider a class of symbolic systems over a finite alphabet which are minimal almost one-to-one extensions of rotations of compact metric monothetic groups and provide computations of their enveloping semigroups that highlight their algebraic structure. We describe the set of idempotents of these semigroups and introduce a classification that can help distinguish between certain such systems having zero topological entropy.
On enveloping semigroups of nilpotent group actions generated by unipotent affine transformations of the torus
Let G be a group generated by a set of affine unipotent transformations T: X → X of the form T(x) = A x + α, where A is a lower triangular unipotent matrix, α is a constant vector, and X is a finite-dimensional torus. We show that the enveloping semigroup E(X,G) of the dynamical system (X,G) is a nilpotent group and find upper and lower bounds on its nilpotency class. Also, we obtain a description of E(X,G) as a quotient space.
On equivalence of some iterations convergence for quasi-contraction maps in convex metric spaces.
On Ergodic Averages for Affine Lattice Actions on Tori.
On existence of equilibrium pair for constrained generalized games.
On expansiveness of shift homeomorphisms of inverse limits of graphs
On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets
On extension of the group operation over the Čech-Stone compactification
The convolution of ultrafilters of closed subsets of a normal topological group is considered as a substitute of the extension onto of the group operation. We find a subclass of ultrafilters for which this extension is well-defined and give some examples of pathologies. Next, for a given locally compact group and its dense subgroup , we construct subsets of β algebraically isomorphic to . Finally, we check whether the natural mapping from β onto β is a homomorphism with respect to the extension...
On families of large oscillation
On finite powers of countably compact groups
We will show that under for each there exists a group whose -th power is countably compact but whose -th power is not countably compact. In particular, for each there exists and a group whose -th power is countably compact but the -st power is not countably compact.
On fixed edges of antitone self-mappings of complete lattices.
On fixed point theorems for absolute retracts
On fixed point theorems for multifunctions in dendroids
On fixed point theorems for multivalued contractions.
On fixed point theorems in 2-metric space.
On Fixed Point Theorems In Banach Spaces
On Fixed Point Theorems of Maia Type
On fixed points.