MEASURE THEORETICAL FOUNDATIONS OF SURFACE AREA THEORY.
Final rept. (Part 1), 13 Aug 65-30 Sep 67,
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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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
- Theoretical Mathematics