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
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
Journal title :
FUZZY SETS AND SYSTEMS
