Results 91 to 100 of about 4,480 (224)

Conjugacy of Dynamical Systems on Self-Similar Groups

open access: yesMathematics, 2020
We show that the limits for dynamical systems of self-similar groups are eventually conjugate if, and only if, there is an isomorphism between their Deaconu groupoid preserving cocycles.
Inhyeop Yi
doaj   +1 more source

GROUPOIDS AND RELATIVE INTERNALITY [PDF]

open access: yesThe Journal of Symbolic Logic, 2019
Abstract In a stable theory, a stationary type $q \in S\left( A \right)$ internal to a family of partial types ${\cal P}$ over A gives rise to a type-definable group, called its binding group.
openaire   +2 more sources

Twisted ambidexterity in equivariant homotopy theory

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley   +1 more source

A topological fibrewise fundamental groupoid

open access: yes, 2015
This is the published version of arXiv:1411.5779It is well known that for certain local connectivity assumptions the fundamental groupoid of a topological space can be equipped with a topology making it a topological groupoid.
Roberts, D.
core   +1 more source

Whiskered Groupoids and Crossed Modules with Diagrams

open access: yesJournal of New Theory
In this study, we investigate the relationships between the category of crossed modules of groups and the category of whiskered groupoids. Our first aim is to construct a crossed module structure over groups from a whiskered groupoid with the objects set
Erdal Ulualan, Zeynep Güler
doaj   +1 more source

GROUPOIDS AND IRREVERSIBLE DISCRETE DYNAMICAL SYSTEMS II [PDF]

open access: yesFiabilitate şi Durabilitate, 2012
The purpose of this paper is to study the topology of the orbit space of an irreversible discrete dynamical system (X, ) seen as a principal groupoid associated to the groupoid G(X,,E) introduced in [1] (where E is an equivalence relation on X).
Mădălina Roxana Buneci
doaj  

On the Structure of an Internal Groupoid

open access: yesApplied Categorical Structures, 2023
AbstractThe category of internal groupoids (in an arbitrary category) is shown to be equivalent to the full subcategory of so called involutive-2-links that are unital and associative.
openaire   +3 more sources

The Holonomy Groupoid Of A Locally

open access: yes, 2007
The well known holonomy groupoid of a foliation is here generalised to the holonomy groupoid of a locally topological groupoid.
Mohammed A. E. -s   +4 more
core  

THE C*-ALGEBRA OF A TWISTED GROUPOID EXTENSION

open access: yes, 2022
This article extends the main results of [10] to the case of a twisted groupoid. More precisely, it gives a decomposition of the C*-algebra of a twisted locally compact groupoid with Haar system in presence of a normal subgroupoid.
Renault, Jean, N
core   +1 more source

Groupoid Actions on Fractafolds? [PDF]

open access: yes, 2014
. We define a bundle over a totally disconnected set such that each fiber is homeo-morphic to a fractal blowup. We prove that there is a natural action of a Renault–Deaconu groupoid on our fractafold bundle and that the resulting action groupoid is a ...
Ionescu, M.   +3 more
core   +1 more source

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