In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid End(A) of a countable relational structure A. As applications, show that monoids several well-known structures, including random graph, directed partial order, possess unique Polish topology. every case topology is subspace induced by usual Baire space NN. We also m...

The prevalent strategy in the topology optimization phase is to select a subset of members existing in an excessively connected truss, called Ground Structure, such that the overall weight or cost is minimized. Although finding a good topology significantly reduces the overall cost, excessive growth of the size of topology space combined with existence of varied types of design variables challe...

motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by s. vickers, providing an algebraic and a coalgebraic category of the new structures. as a result, the nature of the category   topsys   of s. vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

We provide a new approach to the Hutchinson-Barnsley theory for idempotent measures first presented in Mazurenko and Zarichnyi (2018) [24]. The main feature developed here is metrization of space using embedding fuzzy sets. metric obtained induces topology stronger than canonical pointwise convergence topology. A key result existence bijection between sets conjugation Markov operator an IFS on ...

Topology of isofrequency surfaces plays a crucial role in characterizing the interaction an electromagnetic wave with medium. Thus, engineering topology complex media is leading to novel applications, ranging from super-resolution microscopy hyperbolic metamaterials sub-wavelength waveguiding structures. Here, we investigate spin-governed nature general gyromagnetic We show that gyrotropy also ...

Numerical simulation is nowadays increasingly used to avoid the costs and time associated with development optimization of metal forming processes. However, accuracy numerical results still an issue. Material behavior characteristics are required by software, these usually obtained performing a considerable number classical mechanical tests. To improve this procedure, heterogeneous tests have b...

We theoretically demonstrate microwave-induced dynamical switching of magnetic topology in centrosymmetric itinerant magnets by taking the Kondo-lattice model on a triangular lattice, which is known to exhibit two types skyrmion lattices with different topological charges $|{N}_{\mathrm{sk}}|=1$ and 2. Our numerical simulations reveal that intense excitation resonance mode circularly polarized ...

We describe properties of subalgebras and BCC-ideals in BCCalgebras with a topology induced by a family of fuzzy sets.

Talin binding to integrin β tails increases ligand binding affinity (activation). Changes in β transmembrane domain (TMD) topology that disrupt α-β TMD interactions are proposed to mediate integrin activation. In this paper, we used membrane-embedded integrin β3 TMDs bearing environmentally sensitive fluorophores at inner or outer membrane water interfaces to monitor talin-induced β3 TMD motion...

Following the introduction of fuzzy sets in 1965, a notion of fuzzy topological group was proposed by Foster in 1979: essentially he took a group and furnished it with a fuzzy topological structure. An equivalent notion of fuzzy topological group was introduced by Ma and Yu in 1984 by replacing points by fuzzy points. Recently two of the coauthors have introduced the notion of the topology indu...