Let X be a finite connected simplicial complex, and let δ be a perversity (i.e., some function from integers to integers). One can consider two categories: (1) the category of perverse sheaves cohomologically constructible with respect to the triangulation, and (2) the category of sheaves constant along the perverse simplices (δ-sheaves). We interpret the categories (1) and (2) as categories of...

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The paper introduces the notion of a representation k-graph (Δ,α) for given Λ. It is shown that any Λ yields module Kumjian-Pask algebra KP(Λ), and k-graphs yielding simple modules are characterised. Moreover, category RG(Λ) investigated using covering theory higher-rank graphs.

We describe a modular modelling approach permitting curation, updating, and distributed development of modules through joined community effort overcoming the problem of keeping a combinatorially exploding number of monolithic models up to date. For this purpose, the effects of genes and their mutated alleles on downstream components are modeled by composable, metadata-containing Petri net model...

The concept of a 2-metric space is a natural generalization of a metric space. It has been investigated initially by Gähler [4]. Iseki [5] studied the fixed point theorems in 2-metric spaces. Sessa [17] defined weak commutativity and proved common fixed point theorem for weakly commuting maps. In [7] Jungck introduced more generalized commuting mappings, called compatible mappings, which are mo...

We aimed to determine the influence of anesthetic propofol on gene expression in patients treated by coronary artery bypass graft (CABG) surgery based on differential coexpression network (DCN) and to further reveal the novel mechanisms of the cardioprotective effects of propofol. Firstly, we constructed the DCN for disease condition based on Pearson correlation coefficient (PCC) and weight val...

Consider a projective limit G of finite groups Gn. Fix a compatible family δn of coactions of the Gn on a C ∗-algebra A. From this data we obtain a coaction δ of G on A. We show that the coaction crossed product of A by δ is isomorphic to a direct limit of the coaction crossed products of A by the δn. If A = C∗(Λ) for some k-graph Λ, and if the coactions δn correspond to skewproducts of Λ, then...

The clonal weed Solanum carolinense exhibits plasticity in the strength of its self-incompatibility (SI) system and suffers low levels of inbreeding depression (δ) in the greenhouse. We planted one inbred and one outbred plant from each of eight maternal plants in a ring (replicated twice) and monitored clonal growth, herbivory, and reproduction over two years. Per ramet δ was estimated to be 0...

On the cohomology of sℓ(m + 1, IR) acting on differential operators and sℓ(m + 1, IR)-equivariant symbol Abstract Let D k λµ (IR m) denote the space of differential operators of order ≤ k from the space of λ-densities of IR m into that of µ-densities and let S k δ (IR m) be the space of k-contravariant, symmetric tensor fields on IR m valued in the δ-densities, δ = µ − λ. Denote by sℓ m+1 the p...

We study the equation of state (EOS) of β-stable dense matter and models of neutron stars in the relativistic mean field (RMF) theory with the isovector scalar mean field corresponding to the δ-meson [a0(980)]. A range of values of the δ-meson coupling compatible with the Bonn potentials is explored. Parameters of the model in the isovector sector are constrained to fit the nuclear symmetry ene...