Compactifications de Bohr d'anneaux et de modules
Compactifications for some semigroups using the Whyburn construction.
Compactifications of ℕ and Polishable subgroups of
We study homeomorphism groups of metrizable compactifications of ℕ. All of those groups can be represented as almost zero-dimensional Polishable subgroups of the group . As a corollary, we show that all Polish groups are continuous homomorphic images of almost zero-dimensional Polishable subgroups of . We prove a sufficient condition for these groups to be one-dimensional and also study their descriptive complexity. In the last section we associate with every Polishable ideal on ℕ a certain Polishable...
Compactifications of convergence spaces.
Compactifications of fractal structures.
Compactifications of partially ordered sets
Compactifications with finite remainders
Compactifying a convergence space with functions.
Compactifying the space of homeomorphisms
Compactifying topologised semigroups.
Compact-like properties in hyperspaces
Compactly generated shape theories
Compactness and convergence of set-valued measures
We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.
Compactness and countable compactness in weak topologies
A bounded closed convex set K in a Banach space X is said to have quasi-normal structure if each bounded closed convex subset H of K for which diam(H) > 0 contains a point u for which ∥u-x∥ < diam(H) for each x ∈ H. It is shown that if the convex sets on the unit sphere in X satisfy this condition (which is much weaker than the assumption that convex sets on the unit sphere are separable), then relative to various weak topologies, the unit ball in X is compact whenever it is countably compact....
Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]
Compactness and other questions in spaces of uniform measures
Compactness and Tightness in a Space of Measures with the Topology of Weak Convergence.
Compactness as -pseudocompactness
Compactness conditions for semigroups of linear maps.
Compactness in intuitionistic fuzzy topological spaces.