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and the strict hypograph of the function is:
The set is empty if .
The domain (rather than the co-domain) of the function is not particularly important for this definition; it can be an arbitrary set instead of .
Similarly, the set of points on or above the function's graph is its epigraph.
- Charalambos D. Aliprantis; Kim C. Border (2007). Infinite Dimensional Analysis: A Hitchhiker's Guide (3rd ed.). Springer Science & Business Media. pp. 8–9. ISBN 978-3-540-32696-0.
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