Results 1 to 10 of about 379 (88)

Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the N = 6 solution

open access: yesJournal of High Energy Physics
We compute the set of all extreme rays of the 6-party subadditivity cone that are compatible with strong subadditivity. In total, we identify 208 new (genuine 6-party) orbits, 52 of which violate at least one known holographic entropy inequality. For the
Temple He   +2 more
doaj   +2 more sources

Simplicity, bounded normal generation, and automatic continuity of groups of unitaries [PDF]

open access: yesAdvances in Mathematics, 2021
We show that the commutator subgroup of the group of unitaries connected to the identity in a simple unital C*-algebra is simple modulo its center. We then go on to investigate the role of regularity properties in the structure of the special unitary ...
Abhinav Chand, L. Robert
semanticscholar   +1 more source

Computational Topology Counterexamples with 3D Visualization of Bézier Curves [PDF]

open access: yes, 2012
For applications in computing, Bezier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R3 and yields a smooth polynomial curve C embedded in R3. It is of interest to understand when L and C have the same embeddings.
J. Li, T. Peters, D. Marsh, K. E. Jordan
semanticscholar   +1 more source

Bioperators on soft topological spaces

open access: yesAIMS Mathematics, 2021
To contribute to soft topology, we originate the notion of soft bioperators $ \tilde{\gamma} $ and $ {\tilde{\gamma}}^{'} $. Then, we apply them to analyze soft $ (\tilde{\gamma}, {\tilde{\gamma}}^{'}) $-open sets and study main properties. We also prove
Baravan A. Asaad, T. Al-shami, A. Mhemdi
semanticscholar   +1 more source

Training AI to Recognize Realizable Gauss Diagrams: The Same Instances Confound AI and Human Mathematicians

open access: yesInternational Conference on Agents and Artificial Intelligence, 2022
: Recent research in computational topology found sets of counterexamples demonstrating that several recent mathematical articles purporting to describe a mathematical concept of realizable Gauss diagrams contain a mistake.
Abdullah Khan, A. Lisitsa, A. Vernitski
semanticscholar   +1 more source

On automorphism groups of Toeplitz subshifts

open access: yesDiscrete Analysis, 2017
On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso   +3 more
doaj   +1 more source

Topological Properties of Digital Line

open access: yes, 2020
The main purpose of Digital topology is the study of topological properties of discrete objects which are obtained digitizing continuous objects. Digital topology plays a very important role in computer vision, image processing and computer graphics. The
S. Jafari, G. Prabu, M. Thivagar
semanticscholar   +1 more source

A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs

open access: yesExamples and Counterexamples
Robin Forman’s highly influential 2002 paper A User’s Guide to Discrete Morse Theory presents an overview of the subject in a very readable manner. As a proof of concept, the author determines the topology (homotopy type) of the abstract simplicial ...
Anupam Mondal, Pritam Chandra Pramanik
doaj   +1 more source

On almost \(s-\)topological vector spaces

open access: yesJournal of Advanced Studies in Topology, 2018
In this paper, we introduce the notion of almost \(s-\)topological vector spaces and present some examples and counterexamples of almost \(s-\)topological vector spaces. Some general properties of almost \(s-\)topological vector spaces are investigated.
M. Ram   +3 more
semanticscholar   +1 more source

Strictly Wider Class of Soft Sets via Supra Soft δ-Closure Operator

open access: yesInternational Journal of Analysis and Applications
In this work, we use the supra soft δ-closure operator to present a new notion of generalized closed sets in supra soft topological spaces (or SSTSs), named supra soft δ-generalized closed sets.
A. M. Abd El-latif   +2 more
semanticscholar   +1 more source

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