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Physical Sciences and Mathematics

Indian Statistical Institute

Theses/Dissertations

1974

Theorems

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Studies In The Theory Of Measurable Maltifunctions., Sheshi Mohan Srivastava Dr. Feb 1974

Studies In The Theory Of Measurable Maltifunctions., Sheshi Mohan Srivastava Dr.

Doctoral Theses

During the last fifteen years a large number of papers have been devoted to the study of elosed set valued multifunetions. The studies were notivated by both the theoretical and spplica- tional interests that such multifunetions have. From the appli- cational point of view it is worth noting that such multifune- tions arise in varlous problems of control theory, dynanie progra- aning etc. The theoretieal'aspects of these studies belong properly to classieal deseriptive set theory. Classionl deserip- tive set theory asks que stions about how sets are constructed and about other definability properties of sets. The results on closed set …