Concerning a problem due to Sam B. Nadler, Jr.
Concerning certain minimal cover refineable spaces
Concerning locally homotopy negligible sets and characterization of -manifolds
Concerning products of proximally fine uniform spaces
Concerning Sets of the First Baire Category with Respect to Different Metrics
We prove that if and δ are the Hausdorff metric and the radial metric on the space ⁿ of star bodies in ℝ, with 0 in the kernel and with radial function positive and continuous, then a family ⊂ ⁿ that is meager with respect to need not be meager with respect to δ. Further, we show that both the family of fractal star bodies and its complement are dense in ⁿ with respect to δ.
Concerning Splittability and Perfect Mappings
Concrete refinements of uniform spaces
Condiciones suficientes para la paracompacidad-c. Aplicación a un teorema de metrización.
Cones and proximally fine spaces
Configurations of points in sets of positive measure and in Baire sets of second category
Congruent Embedding of Metric Quadruples on a Unit Sphere.
Connected economically metrizable spaces
A topological space is non-separably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image of a non-separably connected complete metric space X under a monotone quotient map. The metric of the space X is economical in the sense that for each infinite subspace A ⊂ X the cardinality of the set does not exceed the density of A, . The construction of the space X determines a functor : Top...
Connectedness of complete metric groups
Constant and variable drop theorems on metrizable locally convex spaces
Constant Distortion Embeddings of Symmetric Diversities
Diversities are like metric spaces, except that every finite subset, instead of just every pair of points, is assigned a value. Just as there is a theory of minimal distortion embeddings of fiite metric spaces into L1, there is a similar, yet undeveloped, theory for embedding finite diversities into the diversity analogue of L1 spaces. In the metric case, it iswell known that an n-point metric space can be embedded into L1 withO(log n) distortion. For diversities, the optimal distortion is unknown....
Constrained optimization: A general tolerance approach
To overcome the somewhat artificial difficulties in classical optimization theory concerning the existence and stability of minimizers, a new setting of constrained optimization problems (called problems with tolerance) is proposed using given proximity structures to define the neighbourhoods of sets. The infimum and the so-called minimizing filter are then defined by means of level sets created by these neighbourhoods, which also reflects the engineering approach to constrained optimization problems....
Construction of Quasi-Uniformities.
Constructive irrational space.
Continua determined by mappings.
Continuity of multifunctions with respect to local sieves and quasi-uniform convergence