English

On the quotient space of a generalized action of a generalized group

Dynamical Systems 2014-02-17 v1

Abstract

In this paper by using of generalized groups and their generalized actions, we define and study the notion of TT-spaces. Moreover, we study properties of the quotient space of a TT-space and we present the conditions that imply to the Hausdorff property for it. Moreover, we study the maps between two TT-spaces and we consider the notion of TT-transitivity.

Keywords

Cite

@article{arxiv.1402.3408,
  title  = {On the quotient space of a generalized action of a generalized group},
  author = {Hasan Maleki and Mohammadreza Molaei},
  journal= {arXiv preprint arXiv:1402.3408},
  year   = {2014}
}