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SANDERS, SAM
2023.
BIG IN REVERSE MATHEMATICS: MEASURE AND CATEGORY.
The Journal of Symbolic Logic,
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1.
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The boundedness principle characterizes second category subsets
Published online by Cambridge University Press: 17 April 2009
Abstract
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Converses are proved for the Osgood (the Principle of Uniform Boundedness), Dini, and other well known. theorems. The notion of a continuous step function on a topological space is defined and a class of spaces identified for which each lower semicontinuous function is the pointwise limit of a monotonically increasing sequence of step functions.
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- Copyright © Australian Mathematical Society 1977
References
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