Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Icen, Ilhan"'
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 with respect to neighborhood opera- tors. Moreover, the relations amon
Externí odkaz:
http://arxiv.org/abs/1405.5493
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 Lie group and the smooth coverings of Lie group-groupoids. Later, we sh
Externí odkaz:
http://arxiv.org/abs/0902.2925
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 monodromy groupoids of a foliation, when the groupoid is just an equivalence
Externí odkaz:
http://arxiv.org/abs/math/0110064
Autor:
Icen, Ilhan, Mucuk, Osman
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 components and coherence properties of the local subgroupoids.
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Externí odkaz:
http://arxiv.org/abs/math/0009099
Autor:
Mucuk, Osman, Icen, Ilhan
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 groupoid structure maps are continuous. The notion of monodromy group
Externí odkaz:
http://arxiv.org/abs/math/0009100
Autor:
Brown, Ronald, Icen, Ilhan
Previous work (Pradines, 1966, Aof and Brown, 1992) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional notions starting from a locally Lie crossed module of groupoids. This involves repl
Externí odkaz:
http://arxiv.org/abs/math/0009082
Autor:
Icen, Ilhan
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 could be useful to beginners in that theory. The main results are the con
Externí odkaz:
http://arxiv.org/abs/math/0009086
Autor:
Brown, Ronald, Içen, Ilhan
The notion of local equivalence relation on a topological space is generalised to that of local subgroupoid. The main result is the construction of the holonomy and monodromy groupoids of certain Lie local subgroupoids, and the formulation of a monod
Externí odkaz:
http://arxiv.org/abs/math/9808112
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