Results 81 to 90 of about 10,485 (179)
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
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Logarithmic structures on topological K-theory spectra
We study a modified version of Rognes' logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective K-theory spectra which approximate the respective periodic spectra.
Sagave, Steffen
core +1 more source
On Endomorphism Universality of Sparse Graph Classes
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
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Topologies for the free monoid
The finite group (or profinite) topology was first introduced for the free group by M. Hall Jr. and by Reutenauer for free monoids. This is the initial topology defined by all the monoid morphisms from the free monoid into a discrete finite group. The p-adic topology is defined in the same way by replacing "group" by "p-group" in the definition.
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Spectral topologies of dually residuated lattice-ordered monoids [PDF]
Summary: Dually residuated lattice-ordered monoids (\(DR\ell \)-monoids for short) generalize lat\-tice-ordered groups and include for instance also GMV-algebras (pseudo MV-algebras), a non-commutative extension of MV-algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.
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Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
On the universal pairing for 2‐complexes
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 +2 more
wiley +1 more source
Zadeh’s extension of a strong sensitive semiflow
For a given metric space X, the symbol ℱ(X) denotes the family of all normal upper semicontinuous fuzzy sets on X with compact support. A semiflow is a continuous function f:T×X → X, where T is an abelian topological monoid. We study when f^:T×ℱ(X) → ℱ(
Manuel Fernández +2 more
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Topological categories with many symmetric monoidal closed structures [PDF]
It would seem from results of Foltz, Lair, and Kelly that symmetric monoidal closed structures, and even monoidal biclosed ones, are quite rare on one-sorted algebraic or essentially-algebraic categories. They showed many such categories to admit no such structures at all, and others to admit only one or two; no such category is known to admit an ...
Kelly, G. M., Rossi, F.
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
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

