HOMEOMORPHISMS OF FLAT AREAS WITH CONSERVATION CONDITION MEASURES
The paper establishes conditions for the open set ๐ โ R2 under which the homeomorphism ๐น : ๐ โ R2, which preserves the measure of any closed unit square and any closed unit semidisk of ๐, preserves the measure of any Lebesgue measurable subset of ๐. It is also shown that the established conditions cannot be significantly weakened.
Institutions
- Donetsk State University of Management (UA)
- Institute of Applied Mathematics and Mechanics (UA)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-09-03
- DOI
- https://doi.org/10.5281/zenodo.17052511
- Primary Topic
- Geochemistry and Geologic Mapping
- Type
- article
- Field-Weighted Citation Impact
- 0.00