Baire

Some articles on baire:

Baire Set - Properties
... Baire sets coincide with Borel sets in every metric (or metrizable) space ... For every compact Hausdorff space, every finite Baire measure (that is, a measure on the σ-algebra of all Baire sets) is regular ... consistent collection of finite-dimensional probability distributions leads to a Baire measure on the space of functions ...
Devanahalli Fort - History
... Their leader Rana Baire Gowda was apparently directed in a dream to set up a settlement in this region ... His son Malla Baire Gowda founded Devanahalli, Chikka-ballapura and Dodda-ballapura.Kempegowda, the founder of Bangalore city is also from Morasu ... During the time of Vijayanagra rule, Malla Baire constructed the initial mud fort in 1501 AD with the consent of Devaraya at Devanadoddi, the previous name of Devanahalli ...
Sadali - History
... disposed of it about 1759 AD to Dodda Baire Gauda of Chikballapur and later it was seized by Hyder Ali, father of Tippu Sultan in 1762 AD ... Dodda Baire Gauda was a descendant of Rana Baire Gauda who ruled Avathi ...
Baire Function
... In mathematics, Baire functions are certain sets of functions ... Baire functions of class n, for any ordinal number n, are a set of real-valued functions defined on the real line, as follows ... The Baire class 0 functions are the continuous functions ...
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 properties of continuous functions more directly ...