Baire spaces and weak topologies generated by gap and excess functionals
Bend sets, -sequences, and mappings.
Bi-Lipschitz embeddings of hyperspaces of compact sets
We study the bi-Lipschitz embedding problem for metric compacta hyperspaces. We observe that the compacta hyperspace K(X) of any separable, uniformly disconnected metric space X admits a bi-Lipschitz embedding in ℓ². If X is a countable compact metric space containing at most n nonisolated points, there is a Lipschitz embedding of K(X) in ; in the presence of an additional convergence condition, this embedding may be chosen to be bi-Lipschitz. By way of contrast, the hyperspace K([0,1]) of the...
Bitopological hyperspaces equipped with upper semi-finite snd lower semi-finite topologies
Boolean semigroup rings and exponentials of compact zero-dimensional spaces
Boundedness in topological spaces