Jerzy Kkakol

activity

20212026

collaborators

4 papers

math.GN2026

Talagrand compacta, 2DCP, and pointwise quotients

Tomasz Kania, Jerzy Kąkol

We revisit Talagrand's CH compactum as a test object for the two-disjoint-copies property and for pointwise quotient questions. The two-disjoint-copies property, or 2DCP, is a topo…

math.GN2026

The two-disjoint-copies property for compact spaces, homogeneity and connection with $C_{p}$ -theory

Jerzy Kąkol, Ondřej Kurka, Wiesław Śliwa

A Tychonoff space $X$ has the two-disjoint-copies property (2DCP) if there exists a sequence $(K_{n})_{n \in ω}$ of non-empty compact subsets of $X$ such that each $K_{n}$ contains two d…

math.FA2022

On complementability of $c_{0}$ in spaces $C (K \times L)$

Jerzy Kąkol, Damian Sobota, Lyubomyr Zdomskyy

Using elementary probabilistic methods, in particular a variant of the Weak Law of Large Numbers related to the Bernoulli distribution, we prove that for every infinite compact spa…

math.FA2021

On complemented copies of the space $c_{0}$ in spaces $C_{p} (X, E)$

Christian Bargetz, Jerzy Kąkol, Damian Sobota

We study the question for which Tychonoff spaces $X$ and locally convex spaces $E$ the space $C_{p} (X, E)$ of continuous $E$ -valued functions on $X$ contains a complemented copy of th…

Talagrand compacta, 2DCP, and pointwise quotients

The two-disjoint-copies property for compact spaces, homogeneity and connection with Cp​-theory

On complementability of c0​ in spaces C(K×L)

On complemented copies of the space c0​ in spaces Cp​(X,E)

The two-disjoint-copies property for compact spaces, homogeneity and connection with $C_{p}$ -theory

On complementability of $c_{0}$ in spaces $C (K \times L)$

On complemented copies of the space $c_{0}$ in spaces $C_{p} (X, E)$