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 …

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 …

We show that every nonempty compact and convex space M of probability Radon measures
either contains a measure which has 'small'local character in M or else M contains a …

We give a construction under CH of an infinite Hausdorff compact space having no
converging sequences and carrying no Radon measure of uncountable type. Under⋄ we …

We show that if K is Rosenthal compact which can be represented by functions with
countably many discontinuities then every Radon measure on K is countably determined …

We investigate properties of those compact spaces $ K $ for which the Banach space $ C (K)
$ can be isomorphically embedded into a space $ C (L) $, where $ L $ is Corson compact …

We study the existence of non-separable compact spaces that support a measure and are
small from the topological point of view. In particular, we show that under Martin's axiom …

Let K be a compact space, and denote by K its hyper-Stonean envelope. We discuss the
class of spaces K with the property that K is homeomorphic to I, the hyper-Stonean envelope …

УДК 519.21 О ТОПОЛОГИЧЕСКИХ ПРОСТРАНСТВАХ, ОБЛАДАЮЩИХ РАВНОМЕРНО
РАСПРЕДЕЛЕННЫМИ ПОСЛЕДОВАТЕЛЬНОСТЯМИ© 2008 г. ВИ Богачев, МН …