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Variational Problems in Topology : The Geometry of Length, Area and Volume
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Introductory Topology: Exercises And Solutions
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Topological Spaces : Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity

Espaces topologiques, fonctions multivoques. English
Bok av Claude Berge
Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions.