About one fixed point theorem.
About Spectral Funnels of Dynamical Systems Without Uniqueness on the Plane
Absolute countable compactness of products and topological groups
In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
Absolute fixed point sets and AR-spaces
Absolute fixed-point sets in compacta
Absolutely extremal points in minimal flows
Abstract analytic and borelian sets
Action of topological semigroups, invariant means, and fixed points
Actions by a bisimple w-semigroup.
Actions of a locally compact group with zero II.
Actions of a noncompact semigroup with zero.
Addendum to "A survey of semigroups of continuous selfmaps" (with intro. by K. D. Magill).
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Adding machines, endpoints, and inverse limit spaces
Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.
Adequate Compacta which are Gul’ko or Talagrand
2000 Mathematics Subject Classification: 54H05, 03E15, 46B26We answer positively a question raised by S. Argyros: Given any coanalytic, nonalytic subset Σ′ of the irrationals, we construct, in Mercourakis space c1(Σ′), an adequate compact which is Gul’ko and not Talagrand. Further, given any Borel, non Fσ subset Σ′ of the irrationals, we construct, in c1(Σ′), an adequate compact which is Talagrand and not Eberlein.Supported by grants AV CR 101-90-03, and GA CR 201-01-1198
Algebraic cohomology of compact monoids.
Algebraic representation of continua.
Algebraic Transformation Groups and Representation.
Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Let be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of is Borel isomorphic to an almost 1-1 extension of . Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz...
Almost all submaximal groups are paracompact and σ-discrete
We prove that any topological group of a non-measurable cardinality is hereditarily paracompact and strongly σ-discrete as soon as it is submaximal. Consequently, such a group is zero-dimensional. Examples of uncountable maximal separable spaces are constructed in ZFC.