A NEW APPROACH TO THE THEORY OF MONADS.

Abstract

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.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0653070

Entities

People

  • W. A. J. Luxemburg

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Standards

Fields of Study

  • Engineering

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space