activity
20002014
most citedHolonomy and monodromy groupoids

3 citations · 8 across the 9 of their papers we have counts for

collaborators

9 papers

math.GM2014★ 1 cited

Topologies and approximation operators induced by binary relations

Nurettin Bagirmaz, A. Fatih Ozcan Hatice Tasbozan, Ilhan Icen

Rough set theory is an important mathematical tool for dealing with uncertain or vague information. This paper studies some new topologies induced by a binary relation on universe…

math.GT2009★ 2 cited

Coverings and Actions of Structured Lie Groupoids I

M. Habil Gürsoy, Ilhan Icen, A. Fatih Özcan

In this work we deal with coverings and actions of Lie group- groupoids being a sort of the structured Lie groupoids. Firstly, we define an action of a Lie group-groupoid on some L…

math.DG2001★ 3 cited

Holonomy and monodromy groupoids

Ronald Brown, Ilhan Icen, Osman Mucuk

We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodro…

math.CT2000★ 1 cited

Sheaves and Local Subgroupoids

Ilhan Icen

This is an introduction to the notion of local subgroupoid introduced by the author and R. Brown. It can also serve as an introduction to an application of sheaf theory, and so cou…

math.DG2000

Extendibility, monodromy and local triviality for topological groupoids

Osman Mucuk, Ilhan Icen

A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all…

math.CT2000

Some Results for the Local Subgroupoids

Ilhan Icen, Osman Mucuk

The notion of local subgroupoids as generalition of a local equivalence relations was defined by the first author and R.Brown. Here we investigate some relations between transitive…