Results 51 to 60 of about 416 (159)

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

A function space from a compact metrizable space to a dendrite with the hypo-graph topology

Open Mathematics, 2015
Let X be an infinite compact metrizable space having only a finite number of isolated points and Y be a non-degenerate dendrite with a distinguished end point v.
Yang Hanbiao, Sakai Katsuro, Koshino Katsuhisa   +2 more
doaj   +1 more source

Fibered ribbon pretzels

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's “exceptional” family of Lecuona [Algebr. Geom. Topol. 15 (2015), no. 4, 2133–2173]. The result is obtained by combining lattice embedding techniques with Gabai's classification of fibered pretzel knots, and ...
Ana G. Lecuona, Andy Wand
wiley   +1 more source

Vietoris-type Topologies on Hyperspaces

, 2017
15 ...
openaire   +2 more sources

Graph topologies on closed multifunctions

Applied General Topology, 2003
In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions considered as graphs which are ...
Giuseppe Di Maio, Enrico Meccariello, Somashekhar Naimpally   +2 more
doaj   +1 more source

PLNet: Persistent Laplacian neural network for protein–protein binding free energy prediction

Protein Science, Volume 34, Issue 12, December 2025.
Abstract Recent advances in topology‐based modeling have greatly improved molecular prediction tasks, particularly in protein–ligand binding affinity. However, when the focus shifts to predicting protein–protein interactions (PPIs) binding free energy, the question becomes significantly more challenging due to the ineffective use of topological ...
Xingjian Xu, Chunmei Wang, Guo‐Wei Wei, Jiahui Chen   +3 more
wiley   +1 more source

Some Connectedness and Related Property of Hyperspace with Vietoris Topology

Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics, 2015
For a Hausdorff space X , we denote by 2 the collection of all closed subsets of X . In this paper, we discuss the connectedness and locally connectedness of hyperspace 2 endowed with the vietoris topology. Further path connectedness is investigated. The results generalize some theorems of E. Micheal. Keywords-connectedness; locally connectedness; path
Pilin Che, Yue Yang, Bo Deng, Meili Zhang   +3 more
openaire   +1 more source

Topological data analysis reveals altered brain connectivity in Alzheimer’s disease [PDF]

AIP Advances
This study analyzed brain network topology by using persistent homology (PH) on resting-state functional magnetic resonance imaging data from the Alzheimer’s Disease Neuroimaging Initiative.
Weiwei Zhang, Xinhua Tang, Xianfu Zhang, Shengxiang Xia   +3 more
doaj   +1 more source

Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis

Advanced Science, Volume 12, Issue 44, November 27, 2025.
In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley   +1 more source