Remote points in spaces with π-weight
Remote points in
Removing sets from connected product spaces while preserving connectedness
As per the title, the nature of sets that can be removed from a product of more than one connected, arcwise connected, or point arcwise connected spaces while preserving the appropriate kind of connectedness is studied. This can depend on the cardinality of the set being removed or sometimes just on the cardinality of what is removed from one or two factor spaces. Sometimes it can depend on topological properties of the set being removed or its trace on various factor spaces. Some of the results...
Representability of concrete categories by non-constant morphisms
Représentation des algèbres universelles par des faisceaux
Representation of Baire functions as continuous functions
Representation of semigroups by products of topological spaces with prescribed cardinal functions
Representation of sheaves of metric lattices by sections
Representation Theorem for Minimal -Algebras
Representations into the hyperspace of a compact group.
Representations of commutative semigroups by products of metric -dimensional spaces
Representations of countable commutative semigroups by products of weakly homogeneous spaces
Representations of presheaves of closure space
Representations of presheaves of semiuniformisable spaces, and representation of a presheaf by the presheaf of all continuous sections in its covering-space
Representing free Boolean algebras
Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra...
Representing trees as relatively compact subsets of the first Baire class
Repulsive Fixed Points of Multivalued Transformations and the Fixed Point Index.
Research Article. Multiscale Analysis of 1-rectifiable Measures II: Characterizations
A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical theorems...
Réseaux électrique planaires I.
Reseaux électriques planaires II.