We introduce several quasi-uniformities on the hyperspace of a topological space in order to study convergence of nets of semicontinuous multifunctions. The interplay between conjugate quasi-uniformities yields results on both the topological structure of hyperspaces and the convergence of semicontinuous multifunctions
Francaviglia, S., Lechicki, A., Levi, S. (1985). Quasiuniformization of hyperspaces and convergence of nets of semicontinuous multifunctions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 112(2), 347-370 [10.1016/0022-247X(85)90246-X].
Quasiuniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
LEVI, SANDRO
1985
Abstract
We introduce several quasi-uniformities on the hyperspace of a topological space in order to study convergence of nets of semicontinuous multifunctions. The interplay between conjugate quasi-uniformities yields results on both the topological structure of hyperspaces and the convergence of semicontinuous multifunctions
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