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Hey. I'm looking for references in fuzzy topology. Does anyone know a good book ?

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I'm sure it's not what you want, but en.wikipedia.org/wiki/Hairy_ball_theorem comes to mind :) –  Theo Johnson-Freyd Feb 6 '12 at 19:21
    
What do you mean by the term "fuzzy topology"? A point-set topology build up within a fuzzy-set framework (e.g. with a graded notion of openness)? –  Peter Sarkoci Feb 6 '12 at 20:07
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closed as too broad by Lucia, Andrey Rekalo, Stefan Kohl, Chris Godsil, Ricardo Andrade Mar 20 at 0:40

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I do not know the field enough to evaluate these options, but there are at least two books with the title "Fuzzy Topology," and another specifically focusing on metric spaces:

  • 1997, Liu & Luo, Fuzzy Topology, World Scientific.
  • 1999, Diamond & Kloeden, Metric Spaces of Fuzzy Sets, Elsevier.
  • 2005, Palaniappan, Fuzzy Topology, Alpha Science Int'l Ltd.

All three can be previewed in Google Books.

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I found thoses. I just want an inside view. But thanks anyway ! –  Dimitri Feb 6 '12 at 15:53
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