Results 51 to 60 of about 1,258,991 (327)

Compactness in Metric Spaces [PDF]

Formalized Mathematics, 2016
Summary In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Nakasho, Kazuhisa, Narita, Keiko, Shidama, Yasunari   +2 more
openaire   +3 more sources

KLK7 overexpression promotes an aggressive phenotype and facilitates peritoneal dissemination in colorectal cancer cells

FEBS Open Bio, EarlyView.
KLK7, a tissue kallikrein‐related peptidase, is elevated in advanced colorectal cancer and associated with shorter survival. High KLK7 levels in ascites correlate with peritoneal metastasis. In mice, KLK7 overexpression increases metastasis. In vitro, KLK7 enhances cancer cell proliferation, migration, adhesion, and spheroid formation, driving ...
Yosr Z. Haffani, Tobias Dreyer, Meriem Naim, Rea Lo Dico, Natalia A. Ignatenko, Viktor Magdolen, Dalila Darmoul   +6 more
wiley   +1 more source

$G_\delta$-topology and compact cardinals

, 2018
For a topological space $X$, let $X_\delta$ be the space $X$ with $G_\delta$-topology of $X$. For an uncountable cardinal $\kappa$, we prove that the following are equivalent: (1) $\kappa$ is $\omega_1$-strongly compact.
Usuba, Toshimichi
core   +1 more source

Multi‐omics and low‐input proteomics profiling reveals dynamic regulation driving pluripotency initiation in early mouse embryos

FEBS Open Bio, EarlyView.
Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li, Xi Xiao, Lingbin Qi, Chanyi Li, Sirui Song, Jiaying Qin, Zhigang Xue, Jinfeng Xue, Huaifang Li   +8 more
wiley   +1 more source

Vietoris topology on spaces dominated by second countable ones

Open Mathematics, 2015
For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂
Islas Carlos, Jardon Daniel
doaj   +1 more source

Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces

مجلة بغداد للعلوم, 2019
In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
doaj   +1 more source

Some topological invariants and biorthogonal systems in Banach spaces [PDF]

, 2011
We consider topological invariants on compact spaces related to the sizes of discrete subspaces (spread), densities of subspaces, Lindelof degree of subspaces, irredundant families of clopen sets and others and look at the following associations between ...
Koszmider, Piotr
core  

Feasibility and Tolerability of Performing Portable MRI for Neurological Disorders in an Outpatient Neurology Clinic: A Prospective Cohort

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Accessing brain magnetic resonance imaging (MRI) can be challenging, especially for underserved patients, which may lead to disparities in neurological diagnosis. Method This mixed‐methods study enrolled adults with one of four neurological disorders: mild cognitive impairment or dementia of the Alzheimer type, multiple sclerosis ...
Maya L. Mastick, Nomin Enkhtsetseg, Joseph Sadok, Matheus Mochetti, Annabel Sorby Adams, Jennifer Guo, Cristina Trapaga Hacker, Isabella Gomez Hjerthen, Seungwon Lee, Siddharth Satish, Andrew S. Ham, Justin Hill, Denis Balaban, Kevin Kyle, Rebecca L. Gillani, Marcelo Matiello, Aleksandar Videnovic, Eric C. Klawiter, W. Taylor Kimberly, Farrah J. Mateen   +19 more
wiley   +1 more source

Evidence of Iron Accumulation in Cerebral Adrenoleukodystrophy: A Potential Novel Disease Mechanism

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT In this first application of Quantitative Susceptibility Mapping Source Separation to cerebral adrenoleukodystrophy, we uncovered alterations in iron and myelin within lesions and normal appearing white matter. As validation, we demonstrate abnormal iron accumulation in those same compartments within primary brain tissue.
Christina L. Nemeth, Mert Sisman, Jinwei Zhang, Hyeong‐geol Shin, Xu Li, Bela Turk, Ali Fatemi, Thanh Nguyen, Eric Mallack   +8 more
wiley   +1 more source

On Fuzzy Feebly Compact Space

Wasit Journal for Pure Sciences
The object of this work to introduce a new form of fuzzy compact space in  a fuzzy topological space, named by fuzzy feebly compact space. It is stronger than a fuzzy compact space.
Saad Mahdi Jaber
doaj   +1 more source