Exhaustibility and Related Set Properties Page: 6
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consequently T'-neglect} are Invalid, The basic reason
that these results on exhaustible neglect do not carry orer
to more general negleet is th© triviality? every non«*dense
set is exhaustible.
Chapter III also deals with sets of the form 0 « H, t Sz
«b*r Q is an open set, and H, * are exhaustible. We wish
to observe the similarity between sets of this form and
measurable sets. Of primary importance is that this property,
like meaaurability* is preserved under the processes of
taking complements, countable suss, and countable products.
Also certain theorems on sets of the foria G ~ H, <t Hx may be
carried over to functions to obtain analogues of the standard
results on measurable functions.
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Cargal, Buchanan. Exhaustibility and Related Set Properties, thesis, 1950; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc130236/m1/9/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .