List of selection theorems

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This page lists selection theorems in mathematics.

Selection theorems for set-valued functions

Bressan–Colombo directionally continuous selection theorem
Castaing representation theorem
Fryszkowski decomposable map selection
Helly's selection theorem
Kuratowski and Ryll-Nardzewski measurable selection theorem
Michael selection theorem
Zero-dimensional Michael selection theorem
Robert Aumann measurable selection theorem
Yannelis-Prabhakar selection theorem^[1]

Selection theorems for set-valued sequences

Blaschke selection theorem

References

↑ Yannelis, Nicholas C.; Prabhakar, N. D. (1983-12-01). "Existence of maximal elements and equilibria in linear topological spaces". Journal of Mathematical Economics 12 (3): 233–245. doi:10.1016/0304-4068(83)90041-1. ISSN 0304-4068.

v t e Functional analysis (topics)
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Topologies of function spaces	Dual Dual space (Dual norm) Operator Ultraweak Weak (polar operator) Mackey Strong (polar operator) Ultrastrong Uniform convergence
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Types of sets	Absolutely convex Absorbing Balanced Bounded Convex Convex cone (subset) Linear cone (subset) Radial Star-shaped Symmetric Zonotope
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