@ARTICLE{UNIFORM3.MIZ,
    TITLE = {Uniform Space},
    AUTHOR = {Coghetto, Roland},
    ADDRESS1 = {Rue de la Brasserie 5\\7100 La Louvi\`ere, Belgium},
    DAY = {30},
    MONTH = {June},
    YEAR = {2016},
    SUMMARY = {In this article, we formalize the notion of uniform
    space introduced by Andr\Že Weil using the concepts of
    entourages \cite{bourbaki2013general}.
     \par
    We present some results between uniform space and pseudo-metric space.
     We introduce the concepts of left-uniformity and right-uniformity
     of a topological group.
    \par
    Next, we define the concept of the partition topology.
    \par
   Following the Vlach's work \cite{vlach2008topologies,vlach2008algebraic},
   we define the semi-uniform space induced by a tolerance
   and the uniform space induced by an equivalence relation.
     \par
   Finally, using mostly Gehrke, Mai and Grigorieff, Serge and
   Pin, Jean-{\'E}ric \cite{gehrke2010topological} work's,
   a Pervin uniform space defined from the sets of
   the form $((X\setminus A) \times (X\setminus A)) \cup (A\times A)$
   is presented.},
    MSC2010 = {54E15,03B35},
    KEYWORDS = {Uniform space, uniformity, pseudo-metric space,
    topological group, partition topology,Pervin uniform space}}

@incollection{vlach2008topologies,
  title={Topologies of Approximation Spaces of Rough Set Theory},
  author={Vlach, Milan},
  booktitle={Interval/Probabilistic Uncertainty and Non-Classical Logics},
  pages={176--186},
  year={2008},
  publisher={Springer}
}
@inproceedings{vlach2008algebraic,
  title={Algebraic and Topological Aspects of Rough Set Theory},
  author={Vlach, Milan},
  booktitle={Fourth International Workshop on Computational Intelligence \& Applications,
  IEEE SMC Hiroshima Chapter, Hiroshima University, Japan, December 10\&11},
  year={2008}
}

@incollection{gehrke2010topological,
  title={A topological approach to recognition},
  author={Gehrke, Mai and Grigorieff, Serge and Pin, Jean-{\'E}ric},
  booktitle={Automata, Languages and Programming},
  pages={151--162},
  year={2010},
  publisher={Springer}
}
@book{bourbaki2013general,
  title={General Topology: Chapters 1--4},
  author={Bourbaki, Nicolas},
  year={2013},
  publisher={Springer Science and Business Media}
}

