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A NEW APPROACH TO THE THEORY OF MONADS.
CALIFORNIA INST OF TECH PASADENA DEPT OF MATHEMATICS
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The paper deals with the general theory of monads and its applications. In its general context the theory is part of non-standard analysis. Many new results concerning the notion of monad of a family are given. Furthermore it is shown that for a detailed description of a monad, saturated models are more appropriate than enlargements. As one of the many applications it is shown that the standard part of any internal set in a saturated model of a topological space is closed.
APPROVED FOR PUBLIC RELEASE