Minimal open sets on generalized topological space

We introduce the notion of minimal open sets in a generalized topological space (X μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X μ) is a μ-preopen se

On property (Saw) and others spectral properties type Weyl-Browder theorems

An operator T acting on a Banach space X satisfies the property (aw) if σ(T) \ σw(T) = Ea(T), where σw(T) is the Weyl spectrum of T and Eo a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and σSBF-+(T) = σw(T), where σSBF-+ (T) is the upper semi B-Weyl spectrum of T

Clonal chromosomal mosaicism and loss of chromosome Y in elderly men increase vulnerability for SARS-CoV-2

The pandemic caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2, COVID-19) had an estimated overall case fatality ratio of 1.38% (pre-vaccination), being 53% higher in males and increasing exponentially with age. Among 9578 individuals diagnosed with COVID-19 in the SCOURGE study, we found 133 cases (1.42%) with detectable clonal mosaicism for chromosome alterations (mCA) and 226 males (5.08%) with acquired loss of chromosome Y (LOY). Individuals with clonal mosaic events (mCA and/or LOY) showed a 54% increase in the risk of COVID-19 lethality. LOY is associated with transcriptomic biomarkers of immune dysfunction, pro-coagulation activity and cardiovascular risk. Interferon-induced genes involved in the initial immune response to SARS-CoV-2 are also down-regulated in LOY. Thus, mCA and LOY underlie at least part of the sex-biased severity and mortality of COVID-19 in aging patients. Given its potential therapeutic and prognostic relevance, evaluation of clonal mosaicism should be implemented as biomarker of COVID-19 severity in elderly people. Among 9578 individuals diagnosed with COVID-19 in the SCOURGE study, individuals with clonal mosaic events (clonal mosaicism for chromosome alterations and/or loss of chromosome Y) showed an increased risk of COVID-19 lethality

Axiomas de separación en ampliaciones de topologías generalizadas

The aim of this paper is to characterize the κμ .closure of any subset A of X and study under what conditions a subset A of X is g.κμ -closed. We also introduce the notions of κ-Ti (i = 0, 1/2, 1, 2) and study some properties of them.El objetivo de este trabajo es caracterizar la κμ .clausura de cualquier subconjunto A de X y estudiar en qué condiciones un subconjunto A de X es g.κμ -cerrado. También introducimos las nociones de κ-Ti (i = 0, 1/2, 1, 2) y el estudio de algunas propiedades de ellas

On [Y, Y']-semiopen sets

En este trabajo se introduce el concepto de conjuntos semiabiertos [; 0] y sus funciones relacionadas en espacios topológicos.In this work we introduce and study the concept of [Y,Y']-semiopen sets and their related functions in topological spaces

Properties of faintly ω-continuous functions

in [3] the authors, introduced the notion of faint ω-continuity intopological spaces. In this paper, we investigate new characterizations of this type of continuity.en [3], los autores introdujeron la nocion de ω-continuidad débil en espacios topologicos. En este artículo, investigamos nuevas caracterizaciones de este tipo de continuida

On (mX;mY) -approximately semi open maps between mX-spaces

In this article, the notion of (mX;mY ){approximately semi open maps between m{spaces is given as a generalization of the concept of approx- imately semi open maps. Also some characterizations of (mX;mY ){ approximately semi open maps are given.En este artculo se da la nocion de mapeos semi abiertos aproximada- mente (mX;mY ) entre m{espacios como una generalizacion del concepto de mapeos aproximadamente semi abiertos. Tambien se dan algunas ca- racterizaciones de los mapeos aproximadamente semi abiertos (mX;mY )

On Upper and Lower Faintly ω-Continuous Multifunctions

The aim of this paper is to introduce and study upper and lower faintly ω-continuous multifunctions as a generalization of upper and lower ω- continuous multifunctions, respectively due to ZorlutunaEl propósito de este artículo es introducir y estudiar multifun- ciones débilmente ω-continua superior y multifunciones débilmente ω-continua inferior, como una generalización de las multifunciones ω-continua superior y las multifunciones ω-continua inferior, respectivamente, dadas por Zorlutun

On -sets and decomposition of continuity via bioperations

The aim of the present paper is to introduce and study the notions of LC-set and LC continuity via biopeation. We discuss some properties of these notions