Results 11 to 20 of about 177 (174)

-Fuzzy Extremally Disconnected Ideal Topological Spaces [PDF]

International Journal of Fuzzy Logic and Intelligent Systems, 2010
The notion of ★-Externally disconnected fuzzy ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.
S.A. Abd El-Baki, Yaser M. Saber
openaire   +1 more source

On Semicompact Sets and Associated Properties

International Journal of Mathematics and Mathematical Sciences, 2009
We continue the study of semicompact sets in a topological space. Several properties, mapping properties of semicompact sets are studied. A special interest to 𝑆𝐶𝑆 spaces is given, where a space 𝑋 is 𝑆𝐶𝑆 if every subset of 𝑋 which is semicompact in 𝑋 is
Mohammad S. Sarsak
doaj   +1 more source

On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Mathematics, 2018
In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we
Wadei Al-Omeri, Saeid Jafari
doaj   +1 more source

On rings of real valued clopen continuous functions

Applied General Topology, 2018
Among variant kinds of strong continuity in the literature, the clopen continuity or cl-supercontinuity (i.e., inverse image of every open set is a union of clopen sets) is considered in this paper.
Susan Afrooz, Fariborz Azarpanah, Masoomeh Etebar   +2 more
doaj   +1 more source

Countably I-Compact Spaces

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce the class of countably I-compact spaces as a proper subclass of countably S-closed spaces. A topological space (X,T) is called countably I-compact if every countable cover of X by regular closed subsets contains a finite subfamily whose ...
Bassam Al-Nashef
doaj   +1 more source

rc-continuous functions and functions with rc-strongly closed graph

International Journal of Mathematics and Mathematical Sciences, 2003
The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc-continuous.
Bassam Al-Nashef
doaj   +1 more source

Extremally Disconnected Spaces and Compactifications

Journal of Advanced Studies in Topology, 2012
This paper deal with conditions on a topological space \(X\) to get its compactification \(K(X)\) an extremally disconnected space. The case of the Alexandroff compactification, \(T_0\)-compactification and Wallman compactification are studied.
Karim Belaid, Ebtesam Musaidy
openaire   +1 more source

Minimal extremally disconnected Hausdorff spaces

General Topology and its Applications, 1978
AbstractExtremally disconnected Hausdorff (abbreviated EDH) spaces that have no strictly coarser EDH topology are called minimal EDH. In this paper minimal EDH spaces are characterized in terms of the Stone-Čech compactification of such spaces. This characterization simplifies for locally compact EDH spaces X as follows: X is minimal EDH if and only if
Porter, Jack R., Woods, R.Grant
openaire   +2 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source