A survey on topological properties of P(K) spaces
G Plebanek - Japanese Journal of Mathematics, 2024 - Springer
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 …
on K, equipped with the weak* topology inherited from C (K)*. For nonmetrizable compacta …
Topology of spaces of probability measures
We study the space of Radon probability measures on a metric space and its subspaces,
and of continuous measures, discrete measures, and finitely supported measures …
and of continuous measures, discrete measures, and finitely supported measures …
On compact trees with the coarse wedge topology
J Somaglia - arXiv preprint arXiv:1803.11107, 2018 - arxiv.org
In the present paper we investigate the class of compact trees, endowed with the coarse
wedge topology, in the area of non-separable Banach spaces. We describe Valdivia …
wedge topology, in the area of non-separable Banach spaces. We describe Valdivia …
A weak* separable 𝐶 (𝐾)* space whose unit ball is not weak* separable
We provide a ZFC example of a compact space $ K $ such that $ C (K)^* $ is $ w^* $-
separable but its closed unit ball $ B_ {C (K)^*} $ is not $ w^* $-separable. All previous …
separable but its closed unit ball $ B_ {C (K)^*} $ is not $ w^* $-separable. All previous …
Some Remarks on the Logic of Probabilistic Relevance
D Fazio, R Mascella - Logic and Logical Philosophy, 2024 - apcz.umk.pl
In this paper we deepen some aspects of the statistical approach to relevance by providing
logics for the syntactical treatment of probabilistic relevance relations. Specifically, we define …
logics for the syntactical treatment of probabilistic relevance relations. Specifically, we define …
On Corson compacta and embeddings of 𝐶 (𝐾) spaces
W Marciszewski, G Plebanek - Proceedings of the American Mathematical …, 2010 - ams.org
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 …
$ can be isomorphically embedded into a space $ C (L) $, where $ L $ is Corson compact …
Measures and slaloms
P Borodulin-Nadzieja, T Inamdar - arXiv preprint arXiv:1604.03137, 2016 - arxiv.org
We examine measure-theoretic properties of spaces constructed using certain technique of
Todor\v {c} evi\'{c}. We show that the existence of strictly positive measures on such spaces …
Todor\v {c} evi\'{c}. We show that the existence of strictly positive measures on such spaces …
Measure and integration on Boolean algebras of regular open subsets in a topological space
M Pivato, V Vergopoulos - arXiv preprint arXiv:1703.02571, 2017 - arxiv.org
The regular open subsets of a topological space form a Boolean algebra, where thejoin'of
two regular open sets is the interior of the closure of their union. Acredence'is a finitely …
two regular open sets is the interior of the closure of their union. Acredence'is a finitely …
[HTML][HTML] On Baire measurability in spaces of continuous functions
Let C (K) be the Banach space of all continuous functions on a given compact space K. We
investigate the w∗-sequential closure in C (K)∗ of the set of all finitely supported …
investigate the w∗-sequential closure in C (K)∗ of the set of all finitely supported …
[HTML][HTML] Nonseparable growth of the integers supporting a measure
P Drygier, G Plebanek - Topology and its Applications, 2015 - Elsevier
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