Abstract
The aim of this paper is to define absorbing systems in infinite-dimensional manifolds and to derive some basic properties of them along the lines of Chapman. As an application we prove that for a countable nondiscrete Tychonov space X, if C p ( X) is and F σδ subset of R X then it is an F σδ -absorber, and hence homeomorphic to the countable infinite product of copies of l 2 ƒ . This generalizes a result of Dobrowolski, Marciszewski and Mogilski.
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