Results 51 to 60 of about 1,474,815 (298)
A Brisk Tour of (Enriched) Category Theory [PDF]
In this paper, I will take you on a brief and brisk tour of the theory of (enriched) categories. While we won’t have time to see the theorems of category theory, we will see how the definitions unify a number of concepts across the mathematical landscape.
Myers, David Jaz
core +1 more source
Enrichment and Representability for Triangulated Categories
Given a fixed tensor triangulated category mathsfS we consider triangulated categories mathsfT together with an mathsfS-enrichment which is compatible with the triangulated structure of mathsfT. It is shown that, in this setting, an enriched analogue of Brown representability holds when both mathsfS and mathsfT are compactly generated.
Steen, Johan, Stevenson, Greg
openaire +4 more sources
Colletotrichum siamense infected the petiole and crown of strawberry (Fragaria × ananassa), and this anthracnose threatens strawberry production heavily in Hubei province. Characteristic the variation of transcript caused by C. siamense is important for
Rong ZHENG, Bo SHU, Chun LUO
doaj +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
A duality of quantale-enriched categories
We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under an appropriate choice of morphisms, the category of J-cocomplete and J-continuous quantale-enriched categories is self-dual.
Hofmann, Dirk, Waszkiewicz, Paweł
openaire +3 more sources
Convergence and quantale-enriched categories [PDF]
Generalising Nachbin's theory of ``topology and order'', in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology.
Dirk Hofmann, Carla D. Reis
doaj
Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source
Grape (Vitis vinifera L.) is one of the most widely cultivated fruit crops globally. Fruit cracking during fruit growth and development severely affects yield and quality, resulting in significant economic losses.
Chuan Zhang +4 more
doaj +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
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

