Results 91 to 100 of about 354,525 (216)

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

Topological categories with many symmetric monoidal closed structures [PDF]

Bulletin of the Australian Mathematical Society, 1985
It would seem from results of Foltz, Lair, and Kelly that symmetric monoidal closed structures, and even monoidal biclosed ones, are quite rare on one-sorted algebraic or essentially-algebraic categories. They showed many such categories to admit no such structures at all, and others to admit only one or two; no such category is known to admit an ...
Kelly, G. M., Rossi, F.
openaire   +2 more sources

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

Group completion and units in I-spaces

, 2012
The category of I-spaces is the diagram category of spaces indexed by finite sets and injections. This is a symmetric monoidal category whose commutative monoids model all E-infinity spaces.
Boardman, Bousfield, Bousfield, Christian Schlichtkrull, Elmendorf, Hirschhorn, Hovey, Mac Lane, May, May, Schlichtkrull, Steffen Sagave   +11 more
core   +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

The motivic Adams conjecture

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, Elden Elmanto, Oliver Röndigs, Maria Yakerson   +3 more
wiley   +1 more source

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, Achim Krause, Thomas Nikolaus, Irakli Patchkoria   +3 more
wiley   +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, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

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