Results 61 to 70 of about 430 (166)
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
On the Structure of Topological Spaces
, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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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
The topological shadow of F1 -geometry:congruence spaces [PDF]
In this paper we introduce congruence spaces, which are topological spaces that are canonically attached to monoid schemes and that reflect closed topological properties.
Ray, Samarpita, Lorscheid, Oliver
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Relative invariance for monoid actions
, 2017 Let S be a topological monoid acting on the topological space M. Let J be a subset of M. Our purpose here is to study the subsets of M which correspond, under the action of S, to the relative (with respect to J) invariant control sets for control systems
Braga Barros, Carlos J.
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Topological groups with co-monoid structures [PDF]
Glasgow Mathematical Journal, 1977 The Eckman–Hilton duality [4] reverses arrows in diagrams, turns products to co-products, and multiplications to co-multiplications, etc. In accordance with this process, Kan [5] obtained the dual of a monoid structure in the category of groups. In this way, we obtain co-monoid structures on topological groups. The main result of this paper is that for
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, 2022 For any non-erasing free monoid morphism $\sigma: \cal A^* \to \cal B^*$, and for any subshift $X \subset \cal A^\Z$ and its image subshift $Y = \sigma(X) \subset \cal B^\Z$, the associated complexity functions $p_X$ and $p_Y$ are shown to satisfy: there
Lustig, Martin
core
Topological finiteness properties of monoids Part 2: special monoids, one-relator monoids, amalgamated free products, and HNN extensions [PDF]
We show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids.
Gray, Robert D., Steinberg, Benjamin
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Relative category and monoidal topological complexity
Topology and its Applications, 2014 If a map $f$ has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of $f$ are the same. In this work we discuss this conjecture for some lower bounds of these invariants. In particular, when we consider the diagonal map, we obtain results supporting Iwase-Sakai's conjecture which ...
Carrasquel-Vera, J. G. +2 more
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A left topological monoid associated to a topological groupoid
, 2013 This paper presents a fanctor $S$ from the category of groupoids to the category of semigroups. Indeed, a monoid $S_G$ with a right zero element is related to a topological groupoid $G$. The monoid $S_G$ is a subset of $C(G,G)$, the set of all continuous functions from $G$ to $G$, and with the compact- open topology inherited from C(G,G) is a left ...
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