DSpace@İnönü

Yazar "Icen, I" için Araştırma Çıktıları | Wos listeleme

Yazar "Icen, I" için Araştırma Çıktıları | Wos listeleme

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  • Lie local subgroupoids and their holonomy and monodromy Lie groupoids 
    Brown, R; Icen, I (2001)
    The notion of local equivalence relation on a topological space is generalized to that of local subgroupoid. The main result is the construction of the holonomy and monodromy groupoids of certain Lie local subgroupoids, ...
  • Homotopies and automorphisms of crossed modules of groupoids 
    Brown, R; Icen, I (2003)
    We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilbert for the case of crossed modules of ...
  • Towards a 2-dimensional notion of holonomy 
    Brown, R; Icen, I (2003)
    Previous work (Pradines, C. R. Acad. Sci. Paris 263 (1966) 907; Aof and Brown, Topology Appl. 47 (1992) 97) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional ...
  • Local subgroupoids II: Examples and properties 
    Brown, R; Icen, I; Mucuk, O (2003)
    The notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path connectivity for a Lie groupoid to give an ...
  • Topological group-groupoids and their coverings 
    Icen, I; Ozcan, AF; Gursoy, MH (2005)
    Let (X) over tilde -> X be a covering map and let X be a topological group. We define a category UTGCov(X) of coverings of X in which both X and (X) over tilde have universal coverings, and a category UTGGdCov (pi(l), X) ...
  • Topological ring-groupoids and liftings 
    Ozcan, AF; Icen, I; Gursoy, MH (2006)
    We prove that the set of homotopy classes of the paths in a topological ring is a topological ring object (called topological ring-groupoid). Let p : (X) over bar -> X be a covering map and let X be a topological ring. We ...
  • Coverings of Lie groupoids 
    Icen, I; Gursoy, MH; Ozcan, AF (2011)
    In this work we constitute the category of coverings of the Lie fundamental groupoid associated with a connected smooth manifold. We show that this category is equivalent to the category of universal coverings of a connected ...
  • Modeling the Relations between Countries with Graph Theory and Possible 
    Sulu, M; Karci, A; Icen, I (2012)
    The aim of this study is to examine present-day countries' economic, political and religious relationships, and also to examine conflicts between these countries by transferring the conflicts to a graph. With the help of ...
  • Lie groupoids and generalized almost paracomplex manifolds 
    Sahin, F; Gursoy, MH; Icen, I (2013)
    In this paper, we show that there is a close relationship between generalized paracomplex manifolds and Lie groupoids. We obtain equivalent assertions among the integrability conditions of generalized almost paracomplex ...
  • On s-Sheaves 
    Oguz, G; Icen, I; Gursoy, MH (2017)
    In this study, we investigate the interaction of sheaves and groupoids. More precisely, we study the interaction between the local equivalence relations and local subgroupoids. A local equivalence relation on a topological ...
  • Soft Sets and Soft Topology on Nearness Approximation Spaces 
    Tasbozan, H; Icen, I; Bagirmaz, N; Ozcan, AF (2017)
    Near set theory presents a fundamental basis for observation, comparison and classification of perceptual granules. Soft set theory is proposed as a general framework to model vagueness. The purpose of this paper is to ...
  • Generalized crossed modules and group-groupoids 
    Gursoy, MH; Aslan, H; Icen, I (2017)
    In this present work, we present the concept of a crossed module over generalized groups and we call it a "generalized crossed module". We also define a generalized group-groupoid. Furthermore, we show that the category ...
  • A Soft Approach to Ring-Groupoids 
    Oguz, G; Gursoy, MH; Icen, I (2018)
    This study introduces a soft approach to the concept of ring-groupoid which is the one of the structured groupoids. Some properties and characterizations of soft ring-groupoids are established. Also, the category of soft ...
  • A Soft Approach to Ring-Groupoids 
    Oguz, G; Gursoy, MH; Icen, I (2018)
    This study introduces a soft approach to the concept of ring-groupoid which is the one of the structured groupoids. Some properties and characterizations of soft ring-groupoids are established. Also, the category of soft ...
  • Lie Rough Groups 
    Oguz, G; Icen, I; Gursoy, MH (2018)
    This paper introduces the definition of a Lie rough group as a natural development of the concepts of a smooth manifold and a rough group on an approximation space. Furthermore, the properties of Lie rough groups are ...
  • Lie Rough Groups 
    Oguz, G; Icen, I; Gursoy, MH (2018)
    This paper introduces the definition of a Lie rough group as a natural development of the concepts of a smooth manifold and a rough group on an approximation space. Furthermore, the properties of Lie rough groups are ...
  • Coverings of structured Lie groupoids 
    Gursoy, MH; Icen, I (2018)
    In this work, we present some results related to coverings of structured Lie groupoids. Firstly, we obtain a covering Lie group-groupoid and a covering morphism of Lie group-groupoids from a given Lie group-groupoid by the ...
  • Coverings of structured Lie groupoids 
    Gursoy, MH; Icen, I (2018)
    In this work, we present some results related to coverings of structured Lie groupoids. Firstly, we obtain a covering Lie group-groupoid and a covering morphism of Lie group-groupoids from a given Lie group-groupoid by the ...
  • ACTIONS OF SOFT GROUPS 
    Oguz, G; Icen, I; Gursoy, MH (2019)
    The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of this study is to introduce the concept of soft action by combining soft set theory with ...
  • On soft topological categories 
    Oguz, G; Gursoy, MH; Icen, I (2019)
    In this paper, we introduce the notion of a soft topological category as a natural consequence of the existence of topological category and soft category. Some examples of the soft topological categories are given. The ...