Results 81 to 90 of about 10,259 (205)
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
The First Differential of the Functor "Algebraic K-Theory of Spaces" [PDF]
, 2016 In his "Algebraic K-theory of topological spaces II" Waldhausen proved that his functor A(X) splits: There is a canonical map from the stable homotopy of X which has a retraction up to weak equivalence. We adapt Waldhausen's proof to obtain a calculation
Ullmann, Mark
core
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
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof,, we obtain a motivic version of mod k$k$ Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety (NGLrT)∖GLr$(N_{\mathrm{GL}_r} T)\backslash \mathrm{GL}_r$ which turns out
Alexey Ananyevskiy +3 more
wiley +1 more source
Zadeh’s extension of a strong sensitive semiflow
Applied General TopologyFor 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
doaj +1 more source
Probabilistic Monads, Domains and Classical Information
, 2012 Shannon's classical information theory uses probability theory to analyze channels as mechanisms for information flow. In this paper, we generalize results of Martin, Allwein and Moskowitz for binary channels to show how some more modern tools ...
Mislove, Michael
core +2 more sources
Topologies on free monoids induced by families of languages [PDF]
RAIRO. Informatique théorique, 1983 The paper is the continuation of the author's paper [ibid. 14, 225-237 (1980; Zbl 0444.68077)]. There are described families of languages inducing interior operators on free monoids and discussed the determination of topologies induced by families of languages by means of neighbourhood systems.
openaire +3 more sources
Witt vectors with coefficients and TR
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto +3 more
wiley +1 more source
Equicontinuous actions of semisimple groups
, 2017 We study equicontinuous actions of semisimple groups and some generalizations. We prove that any such action is universally closed, and in particular proper.
Bader, Uri, Gelander, Tsachik
core +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source