We introduce the strong Gelfand–Phillips property for locally convex spaces and give several characterizations of this property. characterize among admitting a stronger Banach space topology. If $$C_{\mathcal {T}}(X)$$ is continuous functions on Tychonoff X, endowed with topology $${\mathcal {T}}$$ between pointwise compact-open topology, then: (a) has iff X contains compact countable subspace ...

A small world (SW) is a (large) graph with both local clustering and, on average, short distances between nodes [1,2]. Short distances promote accessibility, whereas local clustering and redundancy of edges, as some research suggests [3,4], promotes robustness to disconnection and, through multiple independent pathways, reliable accessibility as well. For paths to transmit materials and informa...

In this paper, a new circuit is proposed for step-up Z-source inverter based on QZSI (quasi-Z-source inverter). The proposed topology inherits all advantages of the conventional topology. The proposed topology in comparison with conventional topology reduces the ST (Shoot-through) duty cycle by over 25% at the same voltage boost factor. Theoretical analysis of the proposed qZSI in the ST and no...

The transmembrane topology of presenilins is still the subject of debate despite many experimental topology studies using antibodies or gene fusions. The results from these studies are partly contradictory and consequently several topology models have been proposed. Studies of presenilin-interacting proteins have produced further contradiction, primarily regarding the location of the C-terminus...

We pursue the study of the multiscale spaces Sν introduced by Jaffard in the context of multifractal analysis. We give the necessary and sufficient condition for Sν to be locally p-convex, and exhibit a sequence of p-norms that defines its natural topology. The strong topological dual of Sν is identified to another sequence space depending on ν, endowed with an inductive limit topology. As a pa...

In this paper, a new topology for cascaded multilevel inverter based on quasi-Z-source converter is proposed. In the proposed topology the magnitude of output DC voltage is not limited to the sum of magnitude of DC voltage sources. Moreover, the reliability of the circuit due to capability of short circuit by Z-source network is increased. The quasi-Z- source converter in different modes is ana...

That is, maps from A to B∗ are given by integral kernels in (A⊗B)∗. However, the validity of this adjunction depends on existence of a genuine tensor product. We recall in an appendix the demonstration that infinitedimensional Hilbert spaces do not have tensor products. Also, we must specify the topology on the duals B∗ and (A⊗B)∗. The strongest conclusion gives these the strong topology, as co...

We study the degree of elimination of imaginaries needed for the three main applications: to have canonical bases for types over models, to define strong types as types over algebraically closed sets and to have a Galois correspondence between definably closed sets B such that A ⊆ B ⊆ acl(A) and closed subgroups of the Galois group Aut(acl(A)/A). We also characterize when the topology of the Ga...

Topology is a strong global constraint that can be useful in generating geometrically accurate segmentations of anatomical structures. Conversely, topological “defects” or departures from the true topology of a structure due to segmentation errors can greatly reduce the utility of anatomical models. In this chapter we cover methods for integrating topological constraints into segmentation proce...

Due to the favorable performance of structural topology optimization to create a proper understanding in the early stages of design, this issue is taken into consideration from the standpoint of research or industrial application in recent decades. Over the last three decades, several methods have been proposed for topology optimization. One of the methods that has been effectively used in stru...