A functional f: X is continuous if and only if its upper f (a) =

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A functional f: X → ℜ is continuous if and only if its upper
≿f (a) = {x: f (x) > a}
and lower contour sets
≿f (a) = {x: f (x) ≤ a}
are both closed.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:39 AM

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A functional f: X is continuous if and only if its upper f (a) =

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Assume continuous The sets and are closed subsets of ...View the full answer

Foundations of Mathematical Economics

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