Results 51 to 60 of about 521,410 (206)

Geometric Quantization of real polarizations via sheaves [PDF]

, 2013
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular Lagrangian foliation via sheaf cohomology and obtain important new applications in the case of real polarizations.
Miranda, Eva, Presas, Francisco
core   +3 more sources

All hypertopologies are hit-and-miss

Applied General Topology, 2002
We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance.
Somshekhar Naimpally
doaj   +1 more source

Generalized Vietoris Bisimulations

, 2014
We introduce and study bisimulations for coalgebras on Stone spaces [14]. Our notion of bisimulation is sound and complete for behavioural equivalence, and generalizes Vietoris bisimulations [4].
Enqvist, Sebastian, Sourabh, Sumit
core   +1 more source

BPS Spectra, Barcodes and Walls [PDF]

, 2019
BPS spectra give important insights into the non-perturbative regimes of supersymmetric theories. Often from the study of BPS states one can infer properties of the geometrical or algebraic structures underlying such theories.
Cirafici, Michele
core   +3 more sources

Persistent entropy for separating topological features from noise in vietoris-rips complexes [PDF]

Journal of Intelligent Information Systems, 2017
Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representing birth and death times of k-dimensional holes along such sequence is called the persistence barcode. k-Dimensional holes with short lifetimes are informally considered to be
Nieves Atienza, Rocio Gonzalez-Diaz, Matteo Rucco   +2 more
openaire   +4 more sources

Selective Survey on Spaces of Closed Subgroups of Topological Groups

Axioms, 2018
We survey different topologizations of the set S ( G ) of closed subgroups of a topological group G and demonstrate some applications using Topological Groups, Model Theory, Geometric Group Theory, and Topological Dynamics.
Igor V. Protasov
doaj   +1 more source

A topological version of Hilbert's Nullstellensatz

, 2016
We prove that the space of radical ideals of a ring $R$, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the nonempty Zariski closed subspaces of Spec$(R)$, endowed with a Zariski-like ...
Finocchiaro, Carmelo A., Fontana, Marco, Spirito, Dario   +2 more
core   +1 more source

The Vietoris hyperspace $\mathcal F(X)$ and certain generalized metric properties

Hacettepe Journal of Mathematics and Statistics, 2023
In this paper, we study several generalized metric properties of the space $\mathcal F(X)$ of finite subsets of a space $X$ endowed with the Vietoris topology.
L. Kočinac, L. Tuyen, Tuyen ONG VAN
semanticscholar   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Multipartite entanglement via the Mayer-Vietoris theorem

, 2017
The connection between entanglement and topology manifests itself in the form of the ER-EPR duality. This statement however refers to the maximally entangled states only.
Patrascu, Andrei T.
core   +1 more source