In mathematics, a cylinder set is the natural open set of a product topology. Cylinder sets are particularly useful in providing the base of the natural topology of the product of a countable number of copies of a set. If V is a finite set, then each element of V can be represented by a letter, and the countable product can be represented by the collection of strings of letters.
Read more about Cylinder Set: General Definition, Definition For Infinite Products of Finite, Discrete Sets, Definition For Vector Spaces, Applications
Famous quotes containing the words cylinder and/or set:
“The outline of the city became frantic in its effort to explain something that defied meaning. Power seemed to have outgrown its servitude and to have asserted its freedom. The cylinder had exploded, and thrown great masses of stone and steam against the sky.”
—Henry Brooks Adams (1838–1918)
“If nations always moved from one set of furnished rooms to another—and always into a better set—things might be easier, but the trouble is that there is no one to prepare the new rooms. The future is worse than the ocean—there is nothing there. It will be what men and circumstances make it.”
—Alexander Herzen (1812–1870)