Baire function

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• Baire function — In mathematics, Baire functions refer to certain sets of functions. They are studied in several fields of mathematics, including real analysis and topology.Baire functions of class n , for any ordinal number n , are a set of real valued functions …   Wikipedia

• Baire one star function — is a term from real analysis. A function f: mathbb{R} o mathbb{R} is in class Baire* one, written f in mathbf{B}^{*} {1}, and is called a Baire one star function, if for each perfect set P in mathbb{R}, there is an open interval I in mathbb{R},… …   Wikipedia

• Baire measure — A Baire measure is a measure on the σ algebra of Baire sets of a topological space. In spaces that are not metric spaces, the Borel sets and the Baire sets may differ. In this context, Baire measures are used because they connect to the… …   Wikipedia

• Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

• René Baire — René Louis Baire René Louis Baire, né le 21 janvier 1874 à Paris 6e et mort le 5 juillet 1932 à Chambéry, est un mathématicien français. Accablé par une mauvaise santé, et partagea …   Wikipédia en Français

• René-Louis Baire — (January 21 1874 ndash; July 5 1932), was a French mathematician. He was born in Paris, France and died in Chambéry, France.Dogged by ill health, and spending time alternating between low level teaching in lycées and work in universities, he was… …   Wikipedia

• Classe de Baire —  Ne doit pas être confondu avec la classe de Baire d une fonction (en) Un sous ensemble A d un espace topologique E est de classe tribu borélienne de E. La terminologie, due à Feli …   Wikipédia en Français

• Nowhere continuous function — In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere… …   Wikipedia

• Universally Baire set — In the mathematical field of descriptive set theory, a set of reals (or subset of the Baire space or Cantor space) is called universally Baire if it has a certain strong regularity property. Universally Baire sets play an important role in Ω… …   Wikipedia

• Weierstrass function — may also refer to the Weierstrass elliptic function ( ) or the Weierstrass sigma, zeta, or eta functions. Plot of Weierstrass Function over the interval [−2, 2]. Like fractals, the function exhibits self similarity: every zoom (red circle)… …   Wikipedia

• Differentiable function — A differentiable function The absolute value function is not …   Wikipedia