Results 11 to 20 of about 50 (45)
Abstract Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ$\Delta$ of either Euclidean or hyperbolic n$n$‐space M$M$. By a piecewise isometric rearrangement of Δ$\Delta$ we mean the process of cutting M$M$ along corank‐1 tile‐faces into finitely many convex polyhedral pieces, and rearranging the pieces to a new tight ...
Robert Bieri, Heike Sach
wiley +1 more source
The anomaly that was not meant IIB
Abstract Type IIB supergravity enjoys a discrete non‐Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions.
Arun Debray +3 more
wiley +1 more source
When is a monotone function cyclically monotone?
We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
Alexey I. Kushnir, Lev V. Lokutsievskiy
wiley +1 more source
On topological Hochschild homology of the K(1)‐local sphere
Abstract We compute mod (p,v1) topological Hochschild homology of the connective cover of the K(1)‐local sphere spectrum for all primes p⩾3. This is accomplished using a May‐type spectral sequence in topological Hochschild homology constructed from a filtration of a commutative ring spectrum.
Gabriel Angelini‐Knoll
wiley +1 more source
More on Selective Covering Properties in Bitopological Spaces
In this study, we continue our investigation of selective covering properties in bitopological spaces. We discuss their behaviour under certain kinds of mappings. We also introduce selective versions of the ccc property and the star‐ccc property in bitopological spaces and give few of their relations with other selective properties.
Ljubiša D. R. Kočinac +2 more
wiley +1 more source
Star-Hurewicz and related properties
We continue the investigation of star selection principles first considered. We are concentrated onto star versions of the Hurewicz covering property and star selection principles related to the classes of open covers which have been recently introduced.
M. Bonanzinga +2 more
doaj +1 more source
Abstract We specify exterior generators in π∗THH(MU)=π∗(MU)⊗E(λn′∣n⩾1) and π∗THH(BP)=π∗(BP)⊗E(λn∣n⩾1), and calculate the action of the σ‐operator on these graded rings. In particular, σ(λn′)=0 and σ(λn)=0, while the actions on π∗(MU) and π∗(BP) are expressed in terms of the right units ηR in the Hopf algebroids (π∗(MU),π∗(MU∧MU)) and (π∗(BP),π∗(BP∧BP)),
John Rognes
wiley +1 more source
Some remarks on Pixley-Roy hyperspaces
In this paper, we study cellular-compact, cellular-Lindel\"of, strongly star-Hurewicz, strongly star-Rothberger, strongly star-Menger spaces on hyperspaces with the Pixley-Roy topology.
Quoc Tuyen Luong +2 more
doaj +1 more source
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Stabilization of Poincaré duality complexes and homotopy gyrations
Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley +1 more source

