Results 31 to 40 of about 521,410 (206)
On the Loop Homology of a Certain Complex of RNA Structures
Mathematics, 2021 In this paper, we establish a topological framework of τ-structures to quantify the evolutionary transitions between two RNA sequence–structure pairs. τ-structures developed here consist of a pair of RNA secondary structures together with a non-crossing ...
Thomas J. X. Li, Christian M. Reidys
doaj +1 more source
Ripser: efficient computation of Vietoris–Rips persistence barcodes [PDF]
Journal of Applied and Computational Topology, 2019 We present an algorithm for the computation of Vietoris–Rips persistence barcodes and describe its implementation in the software Ripser. The method relies on implicit representations of the coboundary operator and the filtration order of the simplices ...
Ulrich Bauer
semanticscholar +1 more source
Vietoris-rips complexes also provide topologically correct reconstructions of sampled shapes [PDF]
Proceedings of the twenty-seventh annual symposium on Computational geometry, 2011 Given a point set that samples a shape, we formulate conditions under which the Rips complex of the point set at some scale reflects the homotopy type of the shape. For this, we associate with each compact set X of R^n two real-valued functions c"X and h"X defined on R"+ which provide two measures of how much the set X fails to be convex at a given ...
Attali, Dominique +2 more
openaire +2 more sources
The hyperspaces Cn(X) for finite ray-graphs
Applied General Topology, 2013 In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variation on finite graphs.
Norah Esty
doaj +1 more source
The K-theory of toric varieties in positive characteristic [PDF]
, 2012 We show that if X is a toric scheme over a regular ring containing a field then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0.
Cortiñas, Guillermo +3 more
core +3 more sources
Enriched Stone-type dualities [PDF]
, 2017 A common feature of many duality results is that the involved equivalence functors are liftings of hom-functors into the two-element space resp. lattice.
Hofmann, Dirk, Nora, Pedro
core +2 more sources
Topologies on Superspaces of TVS-Cone Metric Spaces
The Scientific World Journal, 2014 This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
doaj +1 more source
Persistent Homology analysis of Phase Transitions [PDF]
, 2016 Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called XY-mean field model and by the phi^4 lattice model, respectively.
De Nigris, Sarah +6 more
core +5 more sources
Some properties of hyperspaces of Cech closure spaces with Vietoris-like topologies [PDF]
Filomat, 2010 We study some topological properties of hyperspaces of Cech closure spaces endowed with Vietoris-like topologies. Some of these notions were introduced and considered in [9, 10] and [11], focussing on selection principles.
Andrijević, Dimitrije +2 more
openaire +2 more sources
Frontiers in Computational Neuroscience, 2022 With the development of network science and graph theory, brain network research has unique advantages in explaining those mental diseases, the neural mechanism of which is unclear.
Guangxing Guo +13 more
doaj +1 more source