A model of quotient spaces

Let R be an open equivalence relation on a topological space E. We define on E a new equivalence relation ̃ℜ̅ by x̃ ̃ℜ̅y if the closure of the R-trajectory of x is equal to the closure of the R-trajectory of y. The quotient space E/̃ ̃ℜ̅ is called the trajectory class space. In this paper, we show t...

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Bibliographic Details
Main Author: Hattab Hawete
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.1515/taa-2017-0003