2003/10/22 by Robert A. Herrmann, Herrmann, Robert A. · 3 citations
Mathematics · #03H05 #Computer science #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Analysis #math.GM #msc:03H05
paper · pdf · doi:10.48550/arxiv.math/0310351
published in arXiv (Cornell University) (Cornell University) · Plain Tex, 82 pages. In this version, a few necessary corrections are made and exposition is improved throughout the version
openalex publication_date 2003/10/22 · arxiv created 2010/10/05 · arxiv updated 2010/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this monograph, nonstandard characteristics for many notions from real analysis are obtained and applied. However, only two simple types of atomic formula are used and almost all of the characteristics are shown to hold for a simple ultrapower styled structure generated by any free ultrafilter over the natural numbers.