Characterizing Separability of Function Spaces
Characterizing strong countable-dimensionality in terms of Baire category
Characterizing the arc by composition of functions
Characterizing the interval and circle by composition of functions
Characters of the irreducible highest weight modules over the virasoro and super-virasoro algebras
Charakterisierung nüchterner Räume.
Choice principles in elementary topology and analysis
Many fundamental mathematical results fail in ZF, i.e., in Zermelo-Fraenkel set theory without the Axiom of Choice. This article surveys results — old and new — that specify how much “choice” is needed precisely to validate each of certain basic analytical and topological results.
Choosing an attacker by a local derivation
Choquet simplexes whose set of extreme points is -analytic
We construct a Choquet simplex whose set of extreme points is -analytic, but is not a -Borel set. The set has the surprising property of being a set in its Stone-Cech compactification. It is hence an example of a set that is not absolute.
Choquet simplices and Harnack inequalities
Circle spaces
Circularity of graphs and continua: topology
Circumscribing convex sets
Ćirić fixed point theorem
Ćirić's fixed point theorem in a cone metric space.
C(K) spaces which cannot be uniformly embedded into c₀(Γ)
We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.
Clan acts and codimension.
Classes de Wadge potentielles et théorèmes d'uniformisation partielle
On cherche à donner une construction aussi simple que possible d'un borélien donné d'un produit de deux espaces polonais. D'où l'introduction de la notion de classe de Wadge potentielle. On étudie notamment ce que signifie "ne pas être potentiellement fermé", en montrant des résultats de type Hurewicz. Ceci nous amène naturellement à des théorèmes d'uniformisation partielle, sur des parties "grosses", au sens du cardinal ou de la catégorie.
Classes of commutative rings characterized by going-up and going-down behavior
Classi di convergenza di funzioni dirette.