Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.
Extensions of Semicontinuous Multifunctions.
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...
...-Extensions of Topological Spaces II.
Extensions of unbounded topological spaces
Extensions of uniform structures
Extensions of Zero-sets and of Real-valued Functions.
Extensions, retracts, and absolute neighborhood retracts in proper shape theory
External Characterization of I-Favorable Spaces
1991 AMS Math. Subj. Class.:Primary 54C10; Secondary 54F65We provide both a spectral and an internal characterizations of arbitrary !-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact !-favorable spaces with respect to co-zero sets is also !-favorable with respect to co-zero sets. We also prove that every C* -embedded !-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.
Extraresolvability and cardinal arithmetic
Following Malykhin, we say that a space is extraresolvable if contains a family of dense subsets such that and the intersection of every two elements of is nowhere dense, where is a nonempty open subset of is the dispersion character of . We show that, for every cardinal , there is a compact extraresolvable space of size and dispersion character . In connection with some cardinal inequalities, we prove the equivalence of the following statements: 1) , 2) is extraresolvable and...
Extraresolvability of balleans
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.
Extremal disconnectedness and dyadicity
Extremal Disconnectedness in Fuzzy Topological Spaces
Extremal disconnectedness modulo dual filtrations.
Extremal phenomena in certain classes of totally bounded groups [Book]
Extremal units in an archimedean Riesz space
Extremally disconnected resolutions of -spaces
Extreme points and descriptive sets
A class of closed, bounded, convex sets in the Banach space is shown to be a complete PCA set.