Abstract
Throughout this chapter S denotes a measurable space and X is a topological space (usually metrizable or even Polish). We let Σ denote the σ-algebra of measurable subsets of S,and equip X with its Borel σ-algebra B X . A special case is where S is a topological space and Σ is its Borel σ-algebra. Of primary interest is whether a correspondence φ: S ↠ X admits a selector that is measurable. Ideally we want a notion of measurability for correspondences so that any measurable correspondence has a measurable selector. Unfortunately this is not straightforward.
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© 1999 Springer-Verlag Berlin Heidelberg
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Aliprantis, C.D., Border, K.C. (1999). Measurable correspondences. In: Infinite Dimensional Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03961-8_17
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DOI: https://doi.org/10.1007/978-3-662-03961-8_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65854-2
Online ISBN: 978-3-662-03961-8
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