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On Generatized Dispeisive G-spaces | ||
| Journal of College of Education | ||
| Article 1, Volume 0, Issue 3, 2017, Pages 74-89 | ||
| Author | ||
| Sobeeha Ibrohim M. Al-Zubaidy | ||
| Abstract | ||
| In this paper we introduce a new G-space which we call a generalized dispersive G-space. This space is weaker than a dispersive G-space which is introduced in [2] and stronger than a generalized cartan G-space which is introduced in [3]. We give the definition by depending on the defenition ofa generalized neighborhood rvhich itself depends on the concept of a generalized open set rvhich is introduced by N-Levin [6]. We study this space and give enough examples about it. Also we study its properties subspace, product space and the equivariant homeomorphic image. Finally we prove that a G-space X is a generalized dispersive G-space if X has a star thin generalized open set. | ||
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