Results 41 to 50 of about 1,252,117 (301)

A new look at means on topological spaces

International Journal of Mathematics and Mathematical Sciences, 1997
We use methods of algebraic topology to study when a connected topological space admits an n-mean map.
Peter Hilton
doaj   +1 more source

Lower homomorphisms on additive generalized algebraic lattices

Applied General Topology, 2007
In this paper, with the additivity property, the generalized way-below relation and the maximal system of subsets as tools, we prove that all lower homomorphisms between two additive generalized algebraic lattices form an additive generalized algebraic ...
Xueyou Chen, Zike Deng
doaj   +1 more source

Algebraic Topology-Based Image Deformation: A Unified Model

ELCVIA Electronic Letters on Computer Vision and Image Analysis, 2005
In this paper, a new method for image deformation is presented. It is based upon decomposition of the deformation problem into basic physical laws. Unlike other methods that solve a differential or an energetic formulation of the physical laws involved ...
Layachi Bentabet, Djemel Ziou
doaj   +1 more source

Dynamics of Ion Channels via Non-Hermitian Quantum Mechanics

Entropy, 2021
We study dynamics and thermodynamics of ion transport in narrow, water-filled channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielectric constants mismatch between the water
Tobias Gulden, Alex Kamenev
doaj   +1 more source

Persistent Homology for Random Fields and Complexes

, 2010
We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the
Adler, Robert J., Bobrowski, Omer, Borman, Matthew S., Subag, Eliran, Weinberger, Shmuel   +4 more
core   +2 more sources

The Approach of k-Leader Selection in Undirected Graphs on Maximizing the Consensus Convergence Rate

IEEE Access
This paper undertakes an in-depth study and detailed analysis of the problem of the optimal selection of k leaders for a first-order leader-follower multi-agent system (MAS) whose interaction topology is an undirected graph, with the aim of achieving the
Shanshan Gao, Chao Ping, Xinzhuang Chen
doaj   +1 more source

From Sheaf Cohomology to the Algebraic de Rham Theorem

, 2014
Let X be a smooth complex algebraic variety with the Zariski topology, and let Y be the underlying complex manifold with the complex topology. Grothendieck's algebraic de Rham theorem asserts that the singular cohomology of Y with complex coefficients ...
Tu, Loring W., Zein, Fouad El
core   +1 more source

Algebraic Topology: Applications and New Directions [PDF]

, 2013
Andrew Blumberg William Dwyer Dan Freed Soren Galatius Robert Ghrist Lars Hesselholt Michael Hopkins Matt Kahle Jacob Lurie Graeme Segal Dennis Sullivan Ulrike Tillmann Craig Westerland Mike Hill Dan Isaksen Nitu Kitchloo John Klein Ernesto Lupercio Mike
Lars Hesselholt
semanticscholar   +1 more source

Spectrum of equivariant cohomology as a fixed point scheme [PDF]

Épijournal de Géométrie Algébrique
An action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj   +1 more source

Symmetric topological*-algebras

Periodica Mathematica Hungarica, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources