Let E be a vector lattice, $$\lambda _1,\lambda _2,\ldots ,\lambda _k$$ scalars and $$\varphi _1,\ldots ,\varphi pairwise independent regular linear functionals on E. We show that if $$k<m$$ then $$\sum _{j=1}^k\lambda _j\varphi _j^m$$ is orthogonally additive only _j$$ or $$-\varphi lattice homomorphism for each j, $$1\le j\le k$$ . Moreover, $$m\ge 2$$ , we provide an example to this result d...

Abstract We give a short proof of the contractibility space geodesic triangulations with fixed combinatorial type convex polygon in Euclidean plane. Moreover, for any $$n&gt;0$$ n &gt; 0 , we show that there exists triangulation, whose n -th homotopy gr...

We examine the proper scope of public-private partnerships in the context of a project consisting of two tasks, building and operation of a facility. We investigate the optimal arrangement regarding bundling versus unbundling and private ownership versus public ownership. Like Bennett and Iossa (2006), we assume that the innovative activity in the building stage has impacts on, among other thin...

In a property-rights framework, I study how organizational form and quantity contracts interact in generating investment incentives. The model nests standard property-rights and holdup models as special cases. I admit general message-dependent contracts, but provide conditions under which non-contingent contracts are optimal. First, I contribute to the foundation of the property-rights theory: ...

Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted L−algebra L ω (G). Here, we establish necessary and sufficient conditions for L ω (G) to be φ−contractible, pseudo-contractible or contractible. Moreover we give some similar results about L(G,ω).

Nonreciprocal responses of noncentrosymmetric quantum materials attract recent intensive interests, which is essential for the rectification function in diodes. A breakthrough discovery superconducting diode effect. The principle to enlarge effect highly desired guide design diode. Here, we study theoretically Josephson junction S/FI/S (S: $d$-wave superconductor, FI: ferromagnetic insulator) o...

We consider a skew product $F_{A} = (\sigma_{\omega}, A)$ over irrational rotation $\sigma_{\omega}(x) x + \omega$ of circle $\mathbb{T}^{1}$. It is supposed that the transformation $A: \mathbb{T}^{1} \to SL(2, \mathbb{R})$ being $C^{1}$-map has form $A(x) R(\varphi(x)) Z(\lambda(x))$, where $R(\varphi)$ in $\mathbb{R}^{2}$ angle $\varphi$ and $Z(\lambda)= diag\{\lambda, \lambda^{-1}\}$ diagona...

Let $\varphi=\{\varphi_k\}_{k=-\infty}^\infty$ denote the extended Takenaka--Malmquist system on unit circle $\mathbb T$ and let $\sigma_{n,\varphi}(f),$ $f\in L^1(\mathbb T)$, be Fej\'er-type operator based $\varphi$, introduced by V. N. Rusak. We give convergence criteria for $\sigma_{n,\varphi}(f)$ in Banach space $X(\mathbb T):=L^p(\mathbb T)\vee C(\mathbb $p\ge 1$. Also we prove Voronovska...

The fundamental group is an invariant of topological spaces that measures the contractibility of loops. This project studies the fundamental group, its basic properties, some elementary computations, and a resulting theorem: the Fixed Point Theorem of Brouwer, which states that every continuous function mapping the disk to itself has a fixed point.

In Alexandrov spaces of curvature bounded either above (CBA) or below (CBB), we obtain extrinsic curvature bounds on subspaces associated with semiconcave functions. For CBA spaces, we obtain new intrinsic curvature bounds on subspaces. For CBB spaces whose boundary is extrinsically curved, we strengthen Perelman’s concavity theorem for distance from the boundary, deriving corollaries on sharp ...