Non-standard analysis

In this thesis some classical theorems of analysis are provided with non-standard proofs. In Chapter 1 some compactness theorems are examined. In 1.1 the monad μ(p) of any point p contained in a set X (and relative to a family H of subsets of X ) is defined. Using monads, a nonstandard characteriza...

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Bibliographic Details
Main Author: Cooper, Glen Russell
Language:English
Published: 2010
Online Access:http://hdl.handle.net/2429/19245