Infinite products of Borel measurable functions
K Chmielewska, A Maliszewski - Topology and its Applications, 2008 - Elsevier
K Chmielewska, A Maliszewski
Topology and its Applications, 2008•ElsevierWe examine functions which are infinite products of Borel measurable functions. We show
that if α> 1, then each Baire class α function is the infinite product of some sequence of
functions from the previous classes, and characterize those Baire one functions which are
infinite products of continuous functions.
that if α> 1, then each Baire class α function is the infinite product of some sequence of
functions from the previous classes, and characterize those Baire one functions which are
infinite products of continuous functions.
We examine functions which are infinite products of Borel measurable functions. We show that if α>1, then each Baire class α function is the infinite product of some sequence of functions from the previous classes, and characterize those Baire one functions which are infinite products of continuous functions.
Elsevier
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