Results 91 to 100 of about 10,485 (179)

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

Topology and Algebra of Bonded Knots and Braids

Mathematics
In this paper we present a detailed study of bonded knots and their related structures, integrating recent developments into a single framework. Bonded knots are classical knots endowed with embedded bonding arcs modeling physical or chemical bonds.
Ioannis Diamantis, Louis H. Kauffman, Sofia Lambropoulou   +2 more
doaj   +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

Topological finiteness properties of monoids. Part 1: Foundations

, 2017
We initiate the study of higher dimensional topological finiteness properties of monoids. This is done by developing the theory of monoids acting on CW complexes.
Gray, Robert D., Steinberg, Benjamin
core  

On the dimension of orthogonal projections of self‐similar measures

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
wiley   +1 more source

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source

On locally compact semitopological O-bisimple inverse ω-semigroups

Topological Algebra and its Applications, 2018
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
doaj   +1 more source

The topological Atiyah-Segal map

, 2016
Associated to each finite dimensional linear representation of a group $G$, there is a vector bundle over the classifying space $BG$. We introduce a framework for studying this construction in the context of infinite discrete groups, taking into account ...
Ramras, Daniel A.
core  

Topology and monoid representations I: Foundations

Journal of Pure and Applied Algebra
According to arXiv moderation, to split the paper I had to replace the original.
openaire   +3 more sources

Endomorphism monoids and topological subgraphs of graphs

Journal of Combinatorial Theory, Series B, 1980
AbstractWe prove, that, given a finite graph Y there exists a finite monoid (semigroup with unity) M such that any graph X whose endomorphism monoid is isomorphic to M contains a subdivision of Y. This contrasts with several known results on the simultaneous prescribability of the endomorphism monoid and various graph theoretical properties of a graph.
Babai, László, Pultr, Aleš
openaire   +2 more sources