Results 131 to 140 of about 10,469 (263)

Real models for the framed little n$n$‐disks operads

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Dual spaces of geodesic currents

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Commuting Pairs in Quasigroups

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.
ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Meta‐Metamodelling of Engineering Systems by Help of Abstract Mathematics

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14815-14827, 15 November 2025.
ABSTRACT The growing trend of automation in engineering significantly increases the complexity of engineering systems and necessitates a deeper understanding of the coupling of physical and cyber components interacting within the systems. A typical example of such a highly coupled system is an autonomous construction site, where robotic systems aim to ...
Daniel Luckey, Dmitrii Legatiuk
wiley   +1 more source

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