Atomicity through Fractal Measure Theory Mathematical and Physical Fundamentals with Applications
This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2019, 2019
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| Edition: | 1st ed. 2019 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1. Short hypertopologies. A short overview
- 2. A Mathematical-physical approach on regularity in hit-and-miss hypertologies for fuzzy set multifunctions
- 3. Non-atomic set multifunctions
- 4. Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions
- 5. Atoms and pseudo-atoms for set multifunctions
- 6. Gould integrability on atoms for set multifunctions
- 7. Continuity properties and the Alexandroff theorem in Vietoris topology
- 8. Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity- 9. Atomicity via regularity for non-additive set malfunctions
- 10. Extended atomicity through non-differentiability and its physical implications
- 11. On a multifractal theory of motion in a non-differentiable space. Toward a possible multifractal theory of measure
- List of symbols
- Index