Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

Given a compact space K, we denote by P (K) the space of all Radon probability measures
on K, equipped with the weak* topology inherited from C (K)*. For nonmetrizable compacta …

A well-known result of R. Pol states that a Banach space X has property (C) of Corson if and
only if every point in the weak*-closure of any convex set C⊆ BX⁎ is actually in the weak …

We prove that if $ K $ is a compact space and the space $ P (K\times K) $ of regular
probability measures on $ K\times K $ has countable tightness in its $ weak^* $ topology …

We construct a compact Hausdorff space KK such that the space P (K) P(K) of Radon
probability measures on KK considered with the weak∗ weak^* topology (induced from the …

A topological space is said to be sequential if every subspace closed under taking limits of
convergent sequences is closed. We consider Banach spaces with weak*-sequential dual …

We consider topological invariants on compact spaces related to the sizes of discrete
subspaces (spread), densities of subspaces, Lindelof degree of subspaces, irredundant …

Let (Ω, Σ, μ) be a complete probability space and u: X→ Y an absolutely summing operator
between Banach spaces. We prove that for each Dunford integrable (ie, scalarly integrable) …

The assertion every Radon measure defined on a first-countable compact space is uniformly
regular is shown to be relatively consistent. We prove an analogous result on the existence …

Large families of mutually singular Radon measures Page 1 Large families of mutually
singular Radon measures David H. Fremlin & Grzegorz Plebanek Abstract We investigate how …