MEASURE THEORETICAL FOUNDATIONS OF SURFACE AREA THEORY.
Abstract
The study of the measure theoretical foundations of surface area has led to results that pertain to surface area theory and to results that pertain to measure theory itself. In particular, since the area of a surface is invariant under rigid motions, the measure theory results have been concerned with Haar measures. These results are concerned with the existence, uniqueness or both, of measures invariant under homeomorphisms from a locally compact Hausdorff space onto itself. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0667371
Entities
People
- Earl J. Mickle
Organizations
- Ohio State University