the aim of the present paper is to define and study (ic)$lm$-fuzzytopological spaces, a generalization of (weakly) induced $lm$-fuzzytopological spaces. we discuss the basic properties of(ic)$lm$-fuzzy topological spaces, and introduce the notions ofinterior (ic)-fication and exterior (ic)-fication of $lm$-fuzzytopologies and prove that {bf iclm-ftop} (the category of(ic)$lm$-fuzzy topological ...

A physical mechanism for CPT violation is reviewed, which relies on chiral fermions, gauge interactions, and nontrivial spacetime topology. The nontrivial topology can occur at the very largest scale (e.g., at the “edge” of the universe) or at the very smallest scale (e.g., from a hypothetical spacetime foam). The anomalous effective gauge field action includes, most likely, a CPT–odd Chern–Sim...

O ne meaning of topology is configuration— the “relative arrangement of parts or elements” or “something (as a figure, contour, pattern, or apparatus) that results from a particular arrangement of parts or components” (http://www.m-w.com/cgi-bin/ dictionary?book=Dictionary&va=configuration). As applied to computer storage systems, a topology incorporates specific storage protocols, transport me...

This manuscript will be published as Chapter 5 in Wiley’s textbook Mathematical Tools for Physicists, 2nd edition, edited by Michael Grinfeld from the University of Strathclyde. The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebr...

In this paper, a new topology for Interline Dynamic Voltage Restorer (IDVR) is proposed. This topology contains two direct three-phase converters which have been connected together by a common fictitious dc-link. According to the kind of the disturbances, both of the converters can be employed as a rectifier or inverter. The converters receive the required compensation energy from the gird thro...

We consider the effects of Rayleigh fading and lognormal shadowing in the physical interference model for all the successful transmissions of traffic across the network. New bounds are derived for the capacity of a given random ad hoc wireless network that reflect packet drop or capture probability of the transmission links. These bounds are based on a simplified network topology termed as hone...

Since present Monte Carlo algorithms for lattice QCD may become trapped in a fixed topological charge sector, it is important to understand the effect of calculating at fixed topology. In this work, we show that although the restriction to a fixed topological sector becomes irrelevant in the infinite volume limit, it gives rise to characteristic finite size effects due to contributions from all...

In this work we show how the variability of visualization methods like textures and glyphs can be used to enhance established methods like topology. A topology-based segmentation (Auer et al., 2011) serves as framework to map textures and place glyph exponents for two dimensional symmetric tensor fields. The textures encode physical properties of the underlying field and support the understandi...