On a family of dendrites.
On a fixed point theorem in metric space
On a problem of Banach
On a Suzuki type general fixed point theorem with applications.
On a theorem of P. S. Aleksandrov
On an affirmative answer to Y. Tanaka's and Y. Ge's problem
In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.
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 compact-covering and sequence-covering images of metric spaces
On conditions under which isometries have bounded orbits
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 contractible fans
On decomposition of projections of finite order
On expansiveness of shift homeomorphisms of inverse limits of graphs
On isometric embeddings of Hilbert’s cube into
In our note, we prove the result that the Hilbert’s cube equipped with metrics, , cannot be isometrically embedded into .
On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane.
On local expansions
On local isometries and isometries in metric spaces
On locally expansive selfcoverings of compact metrizable spaces
On locally nonexpansive mappings and local isometries
On metric preserving functions and infinite derivatives.