Topological Markov chains with dicyclic dimension group.
Topological methods in measure theory and the theory of measurable spaces
Topological multidimensional van der Waerden theorem
Topological open problems in the geometry of Banach spaces.
Topological orbit equivalence and C*-crossed products.
Topological papers of Eduard Čech [Book]
Topological properties of a new graph topology.
Topological properties of generalized Wallman spaces and lattice relations.
Topological properties of spaces ordered by preferences.
Topological properties of the real numbers object in a topos
Topological quasitopos hulls of categories containing topological and metric objects
Topological representation of semigroups
Topological representations of measurable spaces
Topological representations of quasiordered sets.
Topological semigroups and Kirk's question
Topological semivector spaces: convexity and fixed point theory.
Topological sequence entropy for maps of the circle
A continuous map of the interval is chaotic iff there is an increasing sequence of nonnegative integers such that the topological sequence entropy of relative to , , is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers there is a chaotic map of the interval such that ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact metric...
Topological size of scrambled sets
A subset S of a topological dynamical system (X,f) containing at least two points is called a scrambled set if for any x,y ∈ S with x ≠ y one has and , d being the metric on X. The system (X,f) is called Li-Yorke chaotic if it has an uncountable scrambled set. These notions were developed in the context of interval maps, in which the existence of a two-point scrambled set implies Li-Yorke chaos and many other chaotic properties. In the present paper we address several questions about scrambled...
Topological Space Objects in a Topos II: ...-Completeness and ...-Cocompleteness.