… We thank Xiaoquan Xu, a doctoral candidate from the College of Health and Biomedicine,
Victoria University, Melbourne, Australia, for her assistance with data collection and for …

We first introduce and study two new classes of subsets in T 0 spaces — Rudin sets and WD
sets lying between the class of all closures of directed subsets and that of irreducible closed …

Following Ershov's method of constructing the d-completion of T 0 spaces, we give a direct
construction of the well-filtered reflection of T 0 spaces. Also, we obtain an elegant …

Objectives To investigate the role of CT radiomics for preoperative prediction of lymph node
metastasis (LNM) in laryngeal squamous cell carcinoma (LSCC). Methods LSCC patients …

We prove that (1) for any complete lattice $L$, the set $\mathcal{D}(L)$ of all nonempty
saturated compact subsets of the Scott space of $L$ is a complete Heyting algebra (with the …

Based on topological Rudin's Lemma, we investigate two new kinds of sets – Rudin sets and
well-filtered determined sets in T 0 topological spaces. Using such sets, we formulate and …

We prove that for every T 0 space X, there is a well-filtered space W ( X ) and a continuous
mapping η X : X ⟶ W ( X ) , such that for any well-filtered space Y and any continuous …

In this paper, we provide a uniform approach to d-spaces, sober spaces and well-filtered
spaces, and develop a general framework for dealing with all these spaces. The concepts of …

Objective To investigate the value of radiomics analysis of dual-energy computed tomography
(DECT)–derived iodine maps for preoperative diagnosing cervical lymph nodes (LNs) …

In the past few years, the research on sober spaces and well-filtered spaces has got some
breakthrough progress. In this paper, we shall present a brief summarizing survey on some of …