Results 91 to 100 of about 1,625,403 (282)

Underlying functors on fibered manifolds

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure on product preserving functors on
Miroslav Doupovec
doaj  

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

Adjoint functor theorems for ∞‐categories [PDF]

Journal of the London Mathematical Society, 2019
v1: 21 pages; v2: updated the references, minor changes; v3: 22 pages, changed the terminology from "final" to "coinitial" functors, added three further Corollaries 4.1.5, 5.1.4 and 5.1.5, additional minor changes, accepted for publication in the Journal of the London Mathematical ...
Hoang Kim Nguyen, Christoph Schrade, George Raptis   +2 more
openaire   +3 more sources

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

Erratum to "Homotopy in Functor Categories" [PDF]

Transactions of the American Mathematical Society, 1983
J*LanjJ*X J*LanJA = C o (JOP X J) cA ?J*X kJ*9 J*X J*X is a 2-cofibration. Since J* is a left adjoint, the lower square is a pushout. Since (J*eX)71J*X = 1, the conclusion follows in routine fashion. The additional hypothesis asks to be characterized as the assertion that C' C C is a cofibered subcategory. There have been other uses of the adjective in
openaire   +2 more sources

Completions of non-T2 filter spaces

International Journal of Mathematics and Mathematical Sciences, 2005
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.
Nandita Rath
doaj   +1 more source

Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1568-1583, May 2025.
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley   +1 more source

Some useful structures for categorical approach for program behavior

Journal of Information and Organizational Sciences, 2011
Using of category theory in computer science has extremely grown in the last decade. Categories allow us to express mathematical structures in unified way. Algebras are used for constructing basic structures used in computer programs.
Viliam Slodičák
doaj  

Coalgebras on Digital Images

Mathematics, 2020
In this article, we investigate the fundamental properties of coalgebras with coalgebra comultiplications, counits, and coalgebra homomorphisms of coalgebras over a commutative ring R with identity 1R based on digital images with adjacency relations.
Sunyoung Lee, Dae-Woong Lee
doaj   +1 more source

The Temperley–Lieb tower and the Weyl algebra

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We define a monoidal category W${\mathbf {W}}$ and a closely related 2‐category 2Weyl${\mathbf {2Weyl}}$ using diagrammatic methods. We show that 2Weyl${\mathbf {2Weyl}}$ acts on the category TL:=⨁nTLn−mod$\mathbf {TL}:=\bigoplus _n \operatorname{TL}_n\mathrm{-mod}$ of modules over Temperley–Lieb algebras, with its generating 1‐morphisms ...
Matthew Harper, Peter Samuelson
wiley   +1 more source