Results 81 to 90 of about 12,395 (180)
Real models for the framed little n$n$‐disks operads
Journal 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
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Parametrized stability and the universal property of global spectra
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
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Non-singular covers over ordered monoid rings [PDF]
Mathematica Bohemica, 2006 Summary: Let \(G\) be a multiplicative monoid. If \(RG\) is a non-singular ring such that the class of all non-singular \(RG\)-modules is a cover class, then the class of all non-singular \(R\)-modules is a cover class. These two conditions are equivalent whenever \(G\) is a well-ordered cancellative monoid such that for all elements \(g,h\in G\) with \
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The six operations in topology
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
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A well-ordering of dual braid monoids [PDF]
Comptes Rendus. Mathématique, 2008 Let Bn+∗ denote the dual braid monoid on n strands, i.e., the submonoid of the braid group Bn consisting of the braids that can be expressed as positive words in the Birman–Ko–Lee generators. We introduce a new normal form on Bn+∗, which is based on expressing every braid of Bn+∗ in terms of a certain finite sequence of braids of Bn−1+∗.
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Mathematical Sciences and Applications E-Notes, 2021 Let $n \in \mathbb{Z}^{+}$ and $X_{n}=\{1,2,\ldots,n\}$ be a finite set. Let $\mathcal ODCT_{n}$ be the order-preserving and order-decreasing full contraction mappings on $X_{n}$. It is well known that $\mathcal ODCT_{n}$ is a monoid. In this paper, we have found the monoid rank and monoid presentation of $\mathcal ODCT_{n}$.
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Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
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Growth problems in diagram categories
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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Topographic spaces over ordered monoids
Mathematics for Application, 2015 A topography on a set is considered to be a collection of features described by two valuations: distance and elevation. Spaces with such structure will be studied on a general level, with generalized metric (gem) and pseudometric (pseudogem). We show many pseudogem distances and characteristics, particularly those related to the elevation function.
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Extensions of partially ordered partial abelian monoids [PDF]
Czechoslovak Mathematical Journal, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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