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SUMMARY:On ideal equal convergence - Staniszewski\, M (University of Gdans
 k)
DTSTART:20150828T123000Z
DTEND:20150828T130000Z
UID:TALK60500@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:We consider ideal equal convergence of a sequence of functions
 . \nThis is a generalization of equal convergence introduced by\nCs'{a}sz'
 {a}r and Laczkovich. The independent\, equivalent definition was introduce
 d by Bukovsk{'a}. She called it quasi-normal convergence. We study relatio
 nships between ideal equal convergence and various kinds of ideal converge
 nces of sequences of real functions. \n\nWe prove a characterization showi
 ng when the ideal pointwise \nconvergence does not imply the ideal equal (
 aka quasi-normal) convergence. The characterization is expressed in terms 
 of a cardinal coefficient related to the bounding number. Furthermore we c
 onsider ideal version of the bounding number on sets from coideals.\n
LOCATION:Seminar Room 1\, Newton Institute
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