Results 71 to 80 of about 10,259 (205)

Topological and categorical properties of binary trees

Applied General Topology, 2008
Binary trees are very useful tools in computer science for estimating the running time of so-called comparison based algorithms, algorithms in which every action is ultimately based on a prior comparison between two elements.
H. Pajoohesh
doaj   +1 more source

Reconstructing the topology on monoids and polymorphism clones of reducts of the rationals

Contributions to Discrete Mathematics, 2021
We extend results from an earlier paper giving reconstruction results for the endomorphism monoid of the rational numbers under the strict and reflexive relations to the first order reducts of the rationals and the corresponding polymorphism clones. We also give some similar results about the coloured rationals.
Truss, John K, Vargas-Garcia, Edith
openaire   +2 more sources

On the universal pairing for 2‐complexes

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2838-2853, September 2025.
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson   +2 more
wiley   +1 more source

Profinite algebras and affine boundedness

, 2016
We prove a characterization of profinite algebras, i.e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. In general profiniteness concerns both the topological and algebraic characteristics of a topological ...
Schneider, Friedrich Martin, Zumbrägel, Jens   +1 more
core   +1 more source

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley   +1 more source

Every simple compact semiring is finite

, 2015
A Hausdorff topological semiring is called simple if every non-zero continuous homomorphism into another Hausdorff topological semiring is injective. Classical work by Anzai and Kaplansky implies that any simple compact ring is finite. We generalize this
Schneider, Friedrich Martin, Zumbrägel, Jens   +1 more
core   +1 more source

G$G$‐typical Witt vectors with coefficients and the norm

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract For a profinite group G$G$ we describe an abelian group WG(R;M)$W_G(R; M)$ of G$G$‐typical Witt vectors with coefficients in an R$R$‐module M$M$ (where R$R$ is a commutative ring). This simultaneously generalises the ring WG(R)$W_G(R)$ of Dress and Siebeneicher and the Witt vectors with coefficients W(R;M)$W(R; M)$ of Dotto, Krause, Nikolaus ...
Thomas Read
wiley   +1 more source

Tarski monoids: Matui's spatial realization theorem

, 2017
We introduce a class of inverse monoids, called Tarski monoids, that can be regarded as non-commutative generalizations of the unique countable, atomless Boolean algebra. These inverse monoids are related to a class of etale topological groupoids under a
A Kumjian, Ch Heunen, DH Lenz, G Kudryavtseva, H Matui, H Matui, J Leech, M Rubin, Mark V. Lawson, MV Lawson, MV Lawson, MV Lawson, MV Lawson, MV Lawson, MV Lawson, MV Lawson, NK Kroshko, P Resende, S Givant, Y Lavrenyuk   +19 more
core   +1 more source

Moduli of finite flat torsors over nodal curves

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley   +1 more source

On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
doaj   +1 more source