Accession Number:

AD0653070

Title:

A NEW APPROACH TO THE THEORY OF MONADS.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DEPT OF MATHEMATICS

Personal Author(s):

• Luxemburg,W. A. J.

Report Date:

1967-04-01

Pagination or Media Count:

124.0

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.

Descriptors:

• *MODEL THEORY
• *TOPOLOGY
• *SET THEORY
• THEOREMS
• REAL NUMBERS
• MAPPING(TRANSFORMATIONS)
• ALGEBRA
• BANACH SPACE
• CONVERGENCE
• SEQUENCES(MATHEMATICS)
• HILBERT SPACE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE