Dispersed Chebyshev Sets and Coverings by Balls.
Circumspheres and Inner Products.
Asymptotes and Projections of Convex Sets.
Asymptotes of Convex Bodies.
On the Borelian and Projective Types of Linear Subspaces.
Stability of the fixed-point property
On a problem of Banach
Mappings into normed linear spaces
Correction to “Summability in spaces” Studia Mathematica 25 (1965), p. 277-280)
Locally Countable Plump Tilings are Flat.
Uniform properties of collections of convex bodies.
Unique reducibility of subsets of commutative topological groups and semigroups.
Continuous Convex Sets.
Characterizations of a Class of Convex Sets.
Semicontinuity of the Face-Function of a Covex Set
Rotundity and smoothness of convex bodies in reflexive and nonreflexive spaces
For combining two convex bodies C and D to produce a third body, two of the most important ways are the operation ∓ of forming the closure of the vector sum C+D and the operation γ̅ of forming the closure of the convex hull of C ⋃ D. When the containing normed linear space X is reflexive, it follows from weak compactness that the vector sum and the convex hull are already closed, and from this it follows that the class of all rotund bodies in X is stable with respect to the operation ∓ and the class...
Tiling with smooth and rotund tiles
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Page 1