the glass transition temperature of several pvac(1)-b-poly(ma-co-mma) (2) terpolymers with different fractions of methyl acrylate (ma) and methyl methacrylate (mma) repeating units in random copolymer (block 2) were calculated with barton, kwei and topological equations. the calculation was on the basis of the correlation between the fraction of repeating units in random copolymers and theoreti...

AFM and Raman studies of topological insulator materials subject to argon plasma etching Isaac Childres a b , Jifa Tian a b , Ireneusz Miotkowski a b & Yong Chen a b c a Department of Physics, Purdue University, West Lafayette, IN 47907, USA b Birck Nanotechnology Center, Purdue University, West Lafayette, IN 47907, USA c School of Electrical and Computer Engineering, Purdue University, West La...

We use a distortion to define the dual complex of a cubical subdivision of R as an n-dimensional subcomplex of the nerve of the set of n-cubes. Motivated by the topological analysis of high-dimensional digital image data, we consider such subdivisions defined by generalizations of quadand oct-trees to n dimensions. Assuming the subdivision is balanced, we show that mapping each vertex to the ce...

The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.

In this paper, we show the redundancies of multiset topological spaces. It is proved that $(P^star(U),sqsubseteq)$ and $(Ds(varphi(U)),subseteq)$ are isomorphic. It follows that multiset topological spaces are superfluous and unnecessary in the theoretical view point.

The atom bond connectivity index of a graph is a new topological index was defined by E. Estrada as ABC(G)  uvE (dG(u) dG(v) 2) / dG(u)dG(v) , where G d ( u ) denotes degree of vertex u. In this paper we present some bounds of this new topological index.

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundationsemigroup with identity.

Abstract The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes intriguing phenomena—topological phases quantum phase transitions (DQPTs)—in systems. Focusing on one-dimensional models with chiral symmetry, find DQPTs following the quench from a trivial to phase. Mor...