Strict Uniformity in Ergodic Theory.
Strictly convex metric spaces with round balls and fixed points
The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Strictly ergodic Toeplitz flows with positive entropies and trivial centralizers
A class of strictly ergodic Toeplitz flows with positive entropies and trivial topological centralizers is presented.
Strictly ergodic, uniform positive entropy models
Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets
We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dim X > 0, then the decompositions and of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and ϱ > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, contains a nondegenerate...
Strong Cohomological Dimension
We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps. We also show that if X is a separable metric ANR and G is a countable Abelian group. Hence for any separable metric ANR X.
Strong convergence and control condition of modified Halpern iterations in Banach spaces.
Strong convergence and Dini theorems for non-uniform spaces
Strong convergence for accretive operators in Banach spaces.
Strong convergence of a modified implicit iteration process for a finite family of -operators.
Strong convergence of an implicit algorithm in CAT(0) spaces.
Strong convergence of an iterative method for equilibrium problems and variational inequality problems.
Strong convergence of approximation fixed points for nonexpansive nonself-mapping.
Strong convergence of modified Halpern iterations in spaces.
Strong convergence theorems for equilibrium problems and quasi-- asymptotically nonexpansive mappings in Banach spaces.
Strong decomposability of ultrafilters on cardinals with countable cofinality
Strong pseudocompact properties
For a free ultrafilter on , the concepts of strong pseudocompactness, strong -pseudocompactness and pseudo--boundedness were introduced in [Angoa J., Ortiz-Castillo Y.F., Tamariz-Mascarúa A., Ultrafilters and properties related to compactness, Topology Proc. 43 (2014), 183–200] and [García-Ferreira S., Ortiz-Castillo Y.F., Strong pseudocompact properties of certain subspaces of , submitted]. These properties in a space characterize the pseudocompactness of the hyperspace of compact subsets...
Strong remote points.
Strong remote points
Remote points constructed so far are actually strong remote. But we construct remote points of another type.
Strong sequences and the weight of regular spaces
It will be shown that if in a family of sets there exists a strong sequence of the length then this family contains a subfamily consisting of pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.