Infinity-Borel Set
In set theory, a subset of a Polish space is ∞-Borel if it can be obtained by starting with the open subsets of, and transfinitely iterating the operations of complementation and wellordered union. Note that the set of ∞-Borel sets may not actually be closed under wellordered union; see below.
Read more about Infinity-Borel Set: Formal Definition, Incorrect Definition, Alternative Characterization
Famous quotes containing the word set:
“And, in those offices, my doggerel
Was not set up in blunt ten-point, nor read
By a distinguished cousin of the mayor....”
—Philip Larkin (19221986)
Related Phrases
Related Words