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quotient space

   Also found in: Wikipedia 0.01 sec.
quotient space [′kwō·shənt ‚spās]
(mathematics)
The topological spaceYwhich is the set of equivalence classes relative to some given equivalence relation on a given topological spaceX; the topology ofYis canonically constructed from that ofX. Also known as factor space.


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9 This extremely large and comprehensive handbook on granular computing traces this relatively new discipline's roots in artificial intelligence, interval computing and quotient space theory and explores the growing interest in this subject due to advances in bioinformatics, data mining, wireless technologies and e-commerce.
The Brownian map is described as a quotient space of the continuous random tree called the CRT, for an equivalence relation that is defined in terms of Brownian labels assigned to the vertices of the CRT (see Sections 3 and 4 below for a detailed discussion).
 
 
 
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