On coarse embeddability into -spaces and a conjecture of Dranishnikov
We show that the Hilbert space is coarsely embeddable into any for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into are equivalent for 1 ≤ p < 2.
On coincidence and fixed-point theorems in symmetric spaces.
On compact spaces which are unions of certain collections of subspaces of special type
On compact-covering and sequence-covering images of metric spaces
On Compactness in Locally Convex Spaces.
On compactness in uniform spaces
On completely regular spaces
On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces
On completeness of quasi-pseudometric spaces.
On completions of proximity and uniform spaces
On complexity of metric spaces
On concrete functors in uniform spaces
On conditions under which isometries have bounded orbits
On confluently graph-like compacta
For any class 𝒦 of compacta and any compactum X we say that: (a) X is confluently 𝒦-representable if X is homeomorphic to the inverse limit of an inverse sequence of members of 𝒦 with confluent bonding mappings, and (b) X is confluently 𝒦-like provided that X admits, for every ε >0, a confluent ε-mapping onto a member of 𝒦. The symbol 𝕃ℂ stands for the class of all locally connected compacta. It is proved in this paper that for each compactum X and each family 𝒦 of graphs, X is confluently...
On connectedness of proximity spaces
On connectivity properties of bitopological hyperspaces
On conservative uniform spaces
On continuity structures and spaces of mappings
On continuous extension of uniformly continuous functions and metrics
We prove that there exists a continuous regular, positive homogeneous extension operator for the family of all uniformly continuous bounded real-valued functions whose domains are closed subsets of a bounded metric space (X,d). In particular, this operator preserves Lipschitz functions. A similar result is obtained for partial metrics and ultrametrics.
On ℳ-contractibility