Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators.
P-ideals and F-ideals in rings of continuous functions
Piecewise affine selections for piecewise polyhedral multifunctions and metric projections.
Piece-Wise Closed Functions.
Piece-wise Closed Functions: Corrigendum.
Planable and smooth dendroids
Planar rational compacta
In this paper we consider rational subspaces of the plane. A rational space is a space which has a basis of open sets with countable boundaries. In the special case where the boundaries are finite, the space is called rim-finite.
Planar rational compacta and universality
We prove that in some families of planar rational compacta there are no universal elements.
Plane indecomposable continua no composant of which is accessible at more than one point
Plongements lipschitziens dans
Poincaré and domain invariance theorem
Poincaré's recurrence theorem for set-valued dynamical systems
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.
Point character of uniformities and completeness
Point countable open coverings in countably compact spaces
Point Sets [Book]
Point-countable bases and quasi-developments
Point-countable π-bases in first countable and similar spaces
It is a classical result of Shapirovsky that any compact space of countable tightness has a point-countable π-base. We look at general spaces with point-countable π-bases and prove, in particular, that, under the Continuum Hypothesis, any Lindelöf first countable space has a point-countable π-base. We also analyze when the function space has a point-countable π -base, giving a criterion for this in terms of the topology of X when l*(X) = ω. Dealing with point-countable π-bases makes it possible...
Pointless uniformities. I. Complete regularity
Pointless uniformities. II: (Dia)metrization
Points of continuity and quasicontinuity
Let C(f), Q(f), E(f) and A(f) be the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function f: X → ℝ, respectively. The triplets (C(f),Q(f),A(f)), (C(f),E(f),A(f) and (Q(f),E(f),A(f)are characterized for functions defined on Baire metric spaces without isolated points.