Infinity-Borel Set

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:

    Really, if the lower orders don’t set us a good example, what on earth is the use of them? They seem, as a class, to have absolutely no sense of moral responsibility.
    Oscar Wilde (1854–1900)