Some questions on the composition factor property for atomic mappings.
Some remarks about bijections onto metric spaces
Some remarks about metric spaces, spherical mappings, functions and their derivatives.
If p ∈ Rn, then we have the radial projection map from Rn {p} onto a sphere. Sometimes one can construct similar mappings on metric spaces even when the space is nontrivially different from Euclidean space, so that the existence of such a mapping becomes a sign of approximately Euclidean geometry. The existence of such spherical mappings can be used to derive estimates for the values of a function in terms of its gradient, which can then be used to derive Sobolev inequalities, etc. In this paper...
Some remarks on Baire spaces
Some remarks on functions with values in probabilistic normed spaces
Some remarks on shape properties of compacta
Some remarks on Suslin sections
Some remarks on Tardiff's fixed point theorem on Menger spaces.
Some remarks on the relation of classical set-valued mappings to the Baire classification
Some results on Ciric's quasi-contraction mappings.
Some results on fixed and coincidence points of couples of maps in metric spaces
Some results on fixed points and their continuity
Some results on groups with unique square roots
Some results on inverse spectra. II.
Some results on -spaces
We present several results related to -spaces where is a finite cardinal or ; we consider products and some constructions that lead from spaces of these classes to other spaces of similar classes.
Some results on metric trees
Using isometric embedding of metric trees into Banach spaces, this paper will investigate barycenters, type and cotype, and various measures of compactness of metric trees. A metric tree (T, d) is a metric space such that between any two of its points there is a unique arc that is isometric to an interval in ℝ. We begin our investigation by examining isometric embeddings of metric trees into Banach spaces. We then investigate the possible images x₀ = π((x₁ + ... + xₙ)/n), where π is a contractive...
Some results on semi-stratifiable spaces
We study relationships between separability with other properties in semi-stratifiable spaces. Especially, we prove the following statements: (1) If is a semi-stratifiable space, then is separable if and only if is ; (2) If is a star countable extent semi-stratifiable space and has a dense metrizable subspace, then is separable; (3) Let be a -monolithic star countable extent semi-stratifiable space. If and , then is hereditarily separable. Finally, we prove that for any -space...
Some results on spaces with -calibre
We prove that, assuming CH, if is a space with -calibre and a zeroset diagonal, then is submetrizable. This gives a consistent positive answer to the question of Buzyakova in Observations on spaces with zeroset or regular -diagonals, Comment. Math. Univ. Carolin. 46 (2005), no. 3, 469–473. We also make some observations on spaces with -calibre.
Some results on uniform spaces with linearly ordered bases
Some sequential properties