Approximate polyhedra, resolutions of maps and shape fibrations
Approximate quantities, hyperspaces and metric completeness
Mostriamo che se è uno spazio metrico completo, allora è completa anche la metrica , indotta in modo naturale da sul sottospazio degli insiemi sfocati («fuzzy») di dati dalle quantità approssimate. Come è ben noto, è una metrica molto interessante nella teoria dei punti fissi di applicazioni sfocate, poiché permette di ottenere risultati soddisfacenti in questo contesto.
Approximative expansions of maps into inverse systems
Arcs in the Hilbert cube whose complements have different fundamental groups
Arcwise accessibility in hyperspaces [Book]
Aronszajn orderings.
Around a quotient space of Bennett-Lutzer's space.
Arrows in the “finite product theorem for certain epireflections'” of R. Frič and D. C. Kent
Atomicity of mappings.
Atoms in the family of coreflective subcategories of uniform spaces
Aull-paracompactness and strong star-normality of subspaces in topological spaces
We prove for a subspace of a -space , is (strictly) Aull-paracompact in and is Hausdorff in if and only if is strongly star-normal in . This result provides affirmative answers to questions of A.V. Arhangel’skii–I.Ju. Gordienko [3] and of A.V. Arhangel’skii [2].
AUnif: A common supercategory of pMET and Unif.
Axioms weaker then
Baire spaces and weak topologies generated by gap and excess functionals
Baire spaces, -spaces, and some properly hereditary properties.
Barely Baire spaces
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