Hasil untuk "math.GN"

Iffat Jahan

This work provides a necessary and sufficient condition for the isomorphism of two fuzzy subspaces in terms of their dimensions.

Boriša Kuzeljević, Stepan Milošević

The purpose of this note is to start the systematic analysis of cofinal types of topological groups.

Canrong Li, Cha Lin, Xiaoduo Xie

Despite mounting evidence linking pyroptotic cell death to tumor growth, the clinical significance and disease mechanism of pyroptosis in cancer remain uncertain. In this study, we established a unique gene signature (π signature) that can be used as a predictive and prognostic tool in pyroptosis-related cancer subtypes. We found that the 13 core pyroptosis genes exerted opposite prognostic effects in different cancer types, which were subgrouped as pyroptosis positively related cancer and pyroptosis negatively related cancer. Subsequently, π signature was identified separately from the hub genes in pyroptosis positively related cancer and pyroptosis negatively related cancer subtypes. It was shown that π signature was well correlated with patient survival, pathological stages, tumor lymphocyte infiltration, and immunotherapy response. π signature was also applied as a predictive tool for chemotherapy drug responses and used as an independent factor for patient overall survival prediction. In short, this elaborated genetic signature could help us understand the oncogenic mechanism and pave the way for further therapeutic strategies based on pyroptosis.

I. V. Protasov

We characterize finitary coarse spaces $X$ such that every permutation of $X$ is an asymorphism.

Alexander V. Osipov

We continue to investigate applications of $k$-covers in function spaces with the compact-open topology.

Yongjie Shi, Chengjie Yu

In this paper, we present an interesting application of Baire's category theorem.

Nix Barnett, James P. Crutchfield

Boaz Tsaban

This issue surveys some of the activities in the field since the previous issue, and announces a conference fully dedicated to the topic of selection principles.

Ling Qin, Xixiao Ma, Lülin Kuang et al.

Olena Karlova

We introduce and study $α$-embedded sets and apply them to generalize the Kuratowski Extension Theorem.

Alex Chigogidze

We prove a version of $Z$-set unknotting theorem for uncountable products of real numbers.

Bessem Samet

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.

Boaz Tsaban

This is the 30th issue of this bulletin, dedicated to mathematical selection principles and related areas. Now in a concise format.

Kenneth Kunen

It is consistent with MA plus not CH that there is a locally connected hereditarily Lindelof compact space which is not metrizable.

A. Chigogidze

It is shown that every Valdivia compact group is homeomorphic to a product of metrizable compacta.

Mats Gyllenberg, G�ran H�gn�s, Timo Koski

Michal Misiurewicz

This article is a short introduction to Combinatorial Dynamics for topologists.

Alex Chigogidze

Topological characterization of torus groups is given.

A. Chigogidze, V. Valov

We establish a characterization of the extraordinary dimension of perfect maps between metrizable spaces.

Takemi Mizokami

We survey the problem of whether M_3 spaces are M_1 spaces.