Results 71 to 80 of about 5,381,971 (370)
Nigh-Open Sets in Topological Space
International Journal of Analysis and Applications, 2023 In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-
Jamal Oudetallah +2 more
doaj +1 more source
, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
core +2 more sources
An operation on topological spaces
Applied General Topology, 2000 <p>A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied. The operation is called diagonalization (of X). Two problems are considered: 1.
openaire +6 more sources
Graded topological spaces [PDF]
Proceedings of the American Mathematical Society, 2019 We introduce the notion of a “graded topological space”: a topological space endowed with a sheaf of abelian groups which we think of as a sheaf of gradings. Any object living on a graded topological space will be graded by this sheaf of abelian groups. We work out the fundamentals of sheaf theory and Poincaré–Verdier duality for such spaces.
Clemens Koppensteiner +1 more
openaire +3 more sources
Observation of topological valley transport of sound in sonic crystals [PDF]
Nature Physics, 2016 Valleytronics — exploiting a system’s pseudospin degree of freedom — is being increasingly explored in sonic crystals. Now, valley transport of sound is reported for a macroscopic triangular-lattice array of rod-like scatterers in a 2D air waveguide. The
Jiuyang Lu +6 more
semanticscholar +1 more source
Momentum-space imaging of Cooper pairing in a half-Dirac-gas topological superconductor [PDF]
Nature Physics, 2014 Superconductivity involving topological Dirac electrons has recently been proposed as a platform between concepts in high-energy and condensed-matter physics. It has been predicted that supersymmetry and Majorana fermions, both of which remain elusive in
Su-Yang Xu +16 more
semanticscholar +1 more source
Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
Random-walk topological transition revealed via electron counting
, 2017 The appearance of topological effects in systems exhibiting a non-trivial topological band structure strongly relies on the coherent wave nature of the equations of motion.
Benito, M. +4 more
core +1 more source
On partition of topological spaces [PDF]
Časopis pro pěstování matematiky, 1984 The authors study the problem of the existence of a Hausdorff space Y such that, for each \(A\subset Y\), the Cantor discontinuum is (homeomorphic to) a subspace of A or of \(Y-A.\) They make significant contributions to this problem. Theorem. [ACP{\#}]\(\vee [V=L\)].
B. Šapirovskij +2 more
openaire +1 more source
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source