Title of article
On the topological structure of spaces of fuzzy compacta
Author/Authors
Zhang، نويسنده , , Lili and Dijkstra، نويسنده , , Jan J.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
80
To page
86
Abstract
We prove that the space of fuzzy compacta in a Peano continuum is homeomorphic to the Hilbert space ℓ 2 . As a corollary we find that the spaces of fuzzy compacta in R n and ℓ 2 are also homeomorphic to Hilbert space.
Keywords
Fuzzy compacta , Hyperspace , Hilbert space , Hilbert cube , Upper semi-continuous map
Journal title
FUZZY SETS AND SYSTEMS
Serial Year
2011
Journal title
FUZZY SETS AND SYSTEMS
Record number
1601342
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