product of ordinals

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• Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

• Gerhard Hessenberg — (Frankfurt, 16 August 1874 – Berlin, 16 November 1925) was a German mathematician. He received his Ph.D from the University of Berlin in 1899 under the guidance of Hermann Schwarz and Lazarus Fuchs. His name is usually associated with projective… …   Wikipedia

• Karl Hessenberg — Karl Adolf Hessenberg (September 8, 1904 ndash; February 22, 1959) was a German mathematician and engineer. The Hessenberg matrix form is named after him. However, Hessenberg sum and product of ordinals are named for the mathematician Gerhard… …   Wikipedia

• Ordinal arithmetic — In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an… …   Wikipedia

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• Ordinal collapsing function — In mathematical logic and set theory, an ordinal collapsing function (or projection function) is a technique for defining (notations for) certain recursive large countable ordinals, whose principle is to give names to certain ordinals much larger …   Wikipedia

• Ordinal notation — In mathematical logic and set theory, an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the language. There are many such schemes of ordinal… …   Wikipedia

• Nimber — In mathematics, the proper class of nimbers (occasionally called Grundy numbers) is introduced in combinatorial game theory, where they are defined as the values of nim heaps, but arise in a much larger class of games because of the… …   Wikipedia

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• Order topology — In mathematics, an order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order …   Wikipedia

• List of forcing notions — In mathematics, forcing is a method of constructing new models M[G] of set theory by adding a generic subset G of a poset P to a model M. The poset P used will determine what statements hold in the new universe (the extension ); to force a… …   Wikipedia