Split Faces and Projective Sets in a Metrizable Compact Convex Set.
Splittability for ordered topological spaces
In quest'articolo dimostriamo come il concetto «spezzabilità», formulato e sviluppato di Arhangel'skii, viene trasferito dallo studio di spazi topologici a quello di spazi topologici parzialmente ordinati. Otteniamo numerosi risultati in forma «se è spezzabile (facendo uso di funzioni appropriatamente scelte) su spazi che hanno una proprietà, allora anche soddisfa la stessa proprietà».
Splitting in locally compact abelian groups
Splitting -covers
The authors give a ZFC example for a space with but not .
SP-scattered spaces; a new generalization of scattered spaces
The set of isolated points (resp. -points) of a Tychonoff space is denoted by (resp. . Recall that is said to be scattered if whenever . If instead we require only that has nonempty interior whenever , we say that is SP-scattered. Many theorems about scattered spaces hold or have analogs for SP-scattered spaces. For example, the union of a locally finite collection of SP-scattered spaces is SP-scattered. Some known theorems about Lindelöf or paracompact scattered spaces hold also...
Squares of Q sets
Stability and asymptotic stability in impulsive semidynamical systems.
Stability and invariance of multivalued iterated function systems
Stability of Banach algebras
Stability of convergent continuous descent methods.
Stability of Jungck-type iterative procedures.
Stability of Noor Iteration for a General Class of Functions in Banach Spaces
In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
Stability of Supporting and Exposing Elements of Convex Sets in Banach Spaces
* This work was supported by the CNR while the author was visiting the University of Milan.To a convex set in a Banach space we associate a convex function (the separating function), whose subdifferential provides useful information on the nature of the supporting and exposed points of the convex set. These points are shown to be also connected to the solutions of a minimization problem involving the separating function. We investigate some relevant properties of this function and of its conjugate...
Stability, sensitivity and sensitivity of characterizations
Stabilizers of closed sets in the Urysohn space
Building on earlier work of Katětov, Uspenskij proved in [8] that the group of isometries of Urysohn's universal metric space 𝕌, endowed with the pointwise convergence topology, is a universal Polish group (i.e. it contains an isomorphic copy of any Polish group). Answering a question of Gao and Kechris, we prove here the following, more precise result: for any Polish group G, there exists a closed subset F of 𝕌 such that G is topologically isomorphic to the group of isometries of 𝕌 which map...
Stable approximations of set-valued maps
Stable closed frame homomorphisms
Stable global attractors in
Stable iteration procedures in metric spaces which generalize a Picard-type iteration.
Stable P an distal dynamical systems.