Extensions of some Fixed Point Theorems of Rhoades, Ćirić, Maiti and Pal
Extensions of topological and semitopological groups and the product operation
The main results concern commutativity of Hewitt-Nachbin realcompactification or Dieudonné completion with products of topological groups. It is shown that for every topological group that is not Dieudonné complete one can find a Dieudonné complete group such that the Dieudonné completion of is not a topological group containing as a subgroup. Using Korovin’s construction of -dense orbits, we present some examples showing that some results on topological groups are not valid for semitopological...
Extremal disconnectedness modulo dual filtrations.
Extreme points and descriptive sets
A class of closed, bounded, convex sets in the Banach space is shown to be a complete PCA set.
-additive covers of Čech complete and scattered-K-analytic spaces
We prove that an -additive cover of a Čech complete, or more generally scattered-K-analytic space, has a σ-scattered refinement. This generalizes results of G. Koumoullis and R. W. Hansell.
-mappings and the invariance of absolute Borel classes
It is proved that -mappings preserve absolute Borel classes, which improves results of R. W. Hansell, J. E. Jayne and C. A. Rogers. The proof is based on the fact that any -mapping f: X → Y of an absolute Suslin metric space X onto an absolute Suslin metric space Y becomes a piecewise perfect mapping when restricted to a suitable -set satisfying .
-section of Borel sets
Factorizable groups of homeomorphisms
Factors and Extensions of Full Shifts.
Filters and semigroup properties.
Filtre moyennant et valeurs moyennes des capacités invariantes
Finite commutative monoids of open maps
Finite Procedures for Sofic Systems.
Finite union of H-sets and countable compact sets
In [2], D. E. Grow and M. Insall construct a countable compact set which is not the union of two H-sets. We make precise this result in two directions, proving such a set may be, but need not be, a finite union of H-sets. Descriptive set theory tools like Cantor-Bendixson ranks are used; they are developed in the book of A. S. Kechris and A. Louveau [6]. Two proofs are presented; the first one is elementary while the second one is more general and useful. Using the last one I prove in my thesis,...
Finite-to-one continuous s-covering mappings
The following theorem is proved. Let f: X → Y be a finite-to-one map such that the restriction is an inductively perfect map for every countable compact set S ⊂ Y. Then Y is a countable union of closed subsets such that every restriction is an inductively perfect map.
First order topology [Book]
Fixed and coincidence points of hybrid mappings
The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra.
Fixed And Periodic Points For A Class Of Contractive Operators
Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces.
Fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space.