On the topological structure of spaces of fuzzy compacta

نویسندگان

  • Lili Zhang
  • Jan J. Dijkstra
چکیده

We prove that the space of fuzzy compacta in a Peano continuum is homeomorphic to the Hilbert space 2. As a corollary we find that the spaces of fuzzy compacta in Rn and 2 are also homeomorphic to Hilbert space. © 2011 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 177  شماره 

صفحات  -

تاریخ انتشار 2011