Isbell will continue his study of a reinterpretation of descriptive set theory, the natural interpretation in metrizable locales. This shift has already been shown to produce at least one gain in metrizable spaces (the standard setting) although there are three or four losses. The completed work is almost all in Borel multiplicative class 1. Most of the main problems now visible are in multiplicative class 2 (F-sigma-delta). Hopeful indications that the technical losses by the central reinterpretation may be outweighed by conceptual enrichment are to be explored. The goal is to shed light on standard descriptive set theory by demonstrating the existence of an alternative.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9003834
Program Officer
Ralph M. Krause
Project Start
Project End
Budget Start
1990-07-15
Budget End
1991-06-30
Support Year
Fiscal Year
1990
Total Cost
$20,000
Indirect Cost
Name
Suny at Buffalo
Department
Type
DUNS #
City
Buffalo
State
NY
Country
United States
Zip Code
14260