Results 61 to 70 of about 707 (188)
The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
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
Transitions between 4-intersection values of planar regions
Applied General Topology, 2017 If A(t) and B(t) are subsets of the Euclidean plane which are continuously morphing, we investigate the question of whether they may morph directly from being disjoint to overlapping so that the boundary and interior of A(t) both intersect the boundary ...
Kathleen Bell, Tom Richmond
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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
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 +2 more
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Topology becomes algebraic with Vietoris and Noether
Journal of Pure and Applied Algebra, 1986 The author points out that homology groups were formally introduced simultaneously by Emmy Noether and Leopold Vietoris in 1926 and produces evidence that the Göttingen and Vienna schools were independent in this achievement. He also quotes a letter from Vietoris in which the latter writes ''Without doubt H.
openaire +2 more sources
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 +3 more
wiley +1 more source
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 +2 more
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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 +3 more
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