Results 41 to 50 of about 1,018,893 (229)
-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
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, 2012 We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$: (i) $X$ is skeletally Dugundji; (ii) Every ...
A Chigogidze +20 more
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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
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Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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A Gelfand-Naimark type theorem
, 2017 Let $X$ be a completely regular space. For a non-vanishing self-adjoint Banach subalgebra $H$ of $C_B(X)$ which has local units we construct the spectrum $\mathfrak{sp}(H)$ of $H$ as an open subspace of the Stone-Cech compactification of $X$ which ...
Farhadi, M., Koushesh, M. R.
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Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
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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
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On some peculiar aspects of the constructive theory of point-free spaces
, 2010 This paper presents several independence results concerning the topos-valid and the intuitionistic (generalized) predicative theories of locales. In particular, certain consequences of the consistency of a general form of Troelstra's uniformity principle
Blass, Gutierres, Herrlich
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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 +16 more
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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
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