Buch, Englisch, Format (B × H): 155 mm x 235 mm
Buch, Englisch, Format (B × H): 155 mm x 235 mm
Reihe: Springer Asia Pacific Mathematics Series
ISBN: 978-981-9237-36-4
Verlag: Springer
In the disciplines such as image processing, fuzzy mathematics, topological dynamic systems, probability theory, etc., many natural function spaces have been proposed. Over the last two decades, there have been many related research achievements. This book systematically exhibits some of these achievements with the traditional and new techniques from infinite-dimensional topology as the unifying theme, together with many related open problems for future study. It is potentially useful for these disciplines to have at hand the topological structures of these function spaces.
Students and researchers in infinite-dimensional topology will find new research problems with practical background in this book. Experts in image processing, fuzzy mathematics, topological dynamic systems, probability theory etc, might get new insights from the material in this book, especially the topological results for each topic.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Topologie
- Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
- Mathematik | Informatik Mathematik Stochastik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
Weitere Infos & Material
Preface, Content, Overview, Basic Theory.- Topological Structures of Hyperspaces.- Function Spaces with Endograph Fell Topology.- Topological Structures of Spaces of Fuzzy Numbers.- Function Spaces Coming from Probability Theory.- Function Spaces Coming from Dynamical Systems.- Function Spaces Coming from Metric Measure Spaces.- References.- Index on Symbols.- Index on Subjects.
