We study the effect of strong disorder on topology and entanglement in quench dynamics. Although disorder-induced topological phases have been well studied equilibrium, dynamics has not explored. In this paper, we predict a postquench states characterized by quantized dynamical Chern number crossings spectrum $(1+1)$ dimensions. The undergoes transitions from zero to unity back when increasing ...

We continue the study of freezing sets for digital images introduced in [L. Boxer and P.C. Staecker, Fixed point topology, 1, Applied General Topology 2020; L. Boxer, 2, Convexity Freezing Sets Digital Topology, 2021]. prove methods obtaining $(X,c_i)$ $X \subset \mathbb{Z}^2$ $i \in \{1,2\}$. give examples to show how these can lead determination minimal sets.

performance of the fiber optic networks with different physical topologies such as point-to-point, bus, ring and star, with respect to requirements as bit rates, topology structure, bit. error rate (ber) and optical component characteristics including optical amplifiers, filters, sources and detectors, are analyzed and simulated. for this purpose, maximum number of supportable nodes and throug...

A problem stated by Höhle in his book “Many-valued Topology and Applications” is solved. The problem consists of finding a necessary and sufficient condition for a stratified L-filter to be induced by a -filter in the sense of Lemma 4.4.3 in this book. The condition given is proved to be equivalent to the condition considered in Proposition 4.4.4 in this book in the case of complete MV -algebra...

Listeriolysin O (LLO) is an essential virulence factor for the gram-positive bacterium Listeria monocytogenes. Our goal was to determine if altering the topology of LLO would alter the virulence and toxicity of L. monocytogenes in vivo. A recombinant strain was generated that expressed a surface-associated LLO (sLLO) variant secreted at 40-fold-lower levels than the wild type. In culture, the s...

The concept of a fuzzifying topology was given in [1] under the name L-fuzzy topology. Ying studied in [9, 10, 11] the fuzzifying topologies in the case of L = [0,1]. A classical topology is a special case of a fuzzifying topology. In a fuzzifying topology τ on a set X , every subset A of X has a degree τ(A) of belonging to τ, 0 ≤ τ(A) ≤ 1. In [4], we defined the degrees of compactness, of loca...

An L-embedded Banach spaace is a Banach space which is complemented in its bidual such that the norm is additive between the two complementary parts. On such spaces we define a topology, called an abstract measure topology, which by known results coincides with the usual measure topology on preduals of finite von Neumann algebras (like L 1 ([0, 1])). Though not numerous, the known properties of...

Abstract In this paper we continue the study of spaces $${\mathcal O}_{M,\omega }({\mathbb R}^N)$$ O M , ω ( R N ) and O}_...

In the present paper we study the smooth topology and its equivalentL-topology, the corresponding L-continuous, L-open, and homeomorphism maps.We also study the concept of several separation axioms (like ST◦, ST1, ST2, andtheir strong and weak forms on the mentioned topology). Finally we investigatesome of their properties and the relations between them.MSC 2010. 39B72, 47H0...