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Several set functions and continuous maps

Posted on:1998-11-29Degree:Ph.DType:Dissertation
University:University of DelawareCandidate:Gorka, SandraFull Text:PDF
GTID:1460390014975500Subject:Mathematics
Abstract/Summary:
This dissertation discusses several set-valued set functions on compact Hausdorff spaces. The definitions of the set functions are similar to that of the well-known set function T. In addition to set functions T and K, three new set functions will be discussed.;Let S be a compact Hausdorff space, ;Chapter 1 provides some background information. Chapter 2 discusses the basic properties of an arbitrary set function ;Chapter 3 discusses the relationships between ;Chapter 4 discusses the unions, intersections and compositions of the set functions and Chapter 5 discusses the behavior of...
Keywords/Search Tags:Set functions, Discusses, Chapter, Compact hausdorff
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