Results 71 to 80 of about 10,485 (179)

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
wiley   +1 more source

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

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

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, Tobias Lenz, Sil Linskens   +2 more
wiley   +1 more source

Topological Hochschild homology of Thom spectra and the free loop space

, 2008
We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f: X->BF, where BF denotes the classifying space for stable spherical fibrations.
Andrew J Blumberg, Baker, Bousfield, Bousfield, Christian Schlichtkrull, Cohen, Elmendorf, Hirschhorn, Kriz, Lewis, Mac Lane, Madsen, Mahowald, Mahowald, May, May, May, May, Ralph L Cohen, Schlichtkrull, Stong, Thomason, Waldhausen, Whitehead   +23 more
core   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

Topological embeddings into transformation monoids

Forum Mathematicum
Abstract In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid ℕ ℕ
Serhii Bardyla, Luke Elliott, James D. Mitchell, Yann Péresse   +3 more
openaire   +5 more sources

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
wiley   +1 more source

Intersection Graphs of Monoids in a Graphical Homotopy Framework via Path Spaces and Homogeneous Structures: Some Applications to Graphical Comprehensive Monoids

Mathematics
In this work, we construct a homotopy theory for a class of intersection graphs arising from topological monoids. We introduce the M-intersection graph of a τe-monoid, where the vertices correspond to proper τe-submonoids and adjacency is defined by ...
Maryam F. Alshammari, Altaf Alshuhail, Amin Saif   +2 more
doaj   +1 more source