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Musing on Kunen's compact L-space

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 323 ()

We present a connected version of the compact L-space constructed by Kenneth Kunen under CH. We show that this provides a Corson compact space K such ......

Team games, hypergraph spaces, and projective Boolean algebras

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 323 ()

We modify the game Fuchino, Koppelberg, and Shelah used to characterize the kappa Freese-Nation property for a given Boolean algebra A, replacing play......

On metrization of the idempotent measures functor and quantization dimensions

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 329 ()

The paper continues the study of quantization dimensions of idempotent measures on an arbitrary metric compact space (X, rho), started in [8]. The con......

Universal space for binary G-spaces

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 329 ()

The notion of binary G-space with an underlying (G) over tilde -space is introduced. The problem of the existence of a universal object in the categor......

S-spaces and large continuum

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 333 ()

We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separabl......

Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 335 ()

In this note, we give sufficient conditions for sequences of operators to be disjoint topologically transitive on the weighted Orlicz spaces of locall......

On KO-groups of complex Milnor manifolds

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 337 ()

In this article, we compute the KO-groups of complex Milnor manifold Hr,s. We describe a set of generators for the group K ⠂O-k(Hr,s). Using this desc......

Two homotopy characterizations of G-ANR spaces for proper actions of Lie groups

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 340 ()

For a Lie group G we consider the class G-../0 of all proper (in the sense of R. Palais) G-spaces that are metrizable by a G-invariant metric. It is p......

Factorizable subgroups of the circle group

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 323 ()

A subgroup H of the circle group T is said to be a-characterized if there exists a strictly increasing sequence of positive integers (u(n)) n is an el......

R-factorizability of topological groups and G-spaces

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 329 ()

In the present paper we investigate the relationship between R-factorizability of a G -space in the category G-Tych and R-factorizability of its actin......

Sequential parametrized motion planning and its complexity, II

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 331 ()

This is a continuation of our recent paper [6] in which we developed the theory of sequential parametrized motion planning. A sequential parametrized ......

Minimally generated Boolean algebras and the Nikodym property

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 323 ()

A Boolean algebra A has the Nikodym property if every pointwise bounded sequence of bounded finitely additive measures on A is uniformly bounded. Assu......

Power homogeneous compacta and variations on tightness

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 323 ()

The weak tightness wt(X), introduced in [6], has the property wt(X) <= t(X). It was shown in [4] that if X is a homogeneous compactum then |X| <......

Some properties of the Nτφ- nucleus

期刊: TOPOLOGY AND ITS APPLICATIONS, 2023; 326 ()

In this paper we study the behavior of some properties of topological spaces under the influence of the N-tau(phi)-kernel of a space X. We prove that ......

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