Advances in topology and their interdisciplinary applications / Santanu Acharjee, editor.

Format:

Book

Contributor:

Acharjee, Santanu, editor.

Series:

Industrial and applied mathematics.

Industrial and Applied Mathematics, 2364-6845

Language:

English

Subjects (All):

Topology.

Dynamics.

Mathematics.

Dynamical Systems.

Applications of Mathematics.

Local Subjects:

Topology.

Dynamical Systems.

Applications of Mathematics.

Physical Description:

1 online resource (264 pages)

Place of Publication:

Singapore : Springer, [2023]

Summary:

This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topological theories and their applications in areas like social sciences, natural sciences, soft computing, economics, theoretical chemistry, cryptography, pattern recognitions and granular computing. There are 14 chapters, including two chapters on mathematical economics from the perspective of topology. The book discusses topics on function spaces, relator space, preorder, quasi-uniformities, bitopological dynamical systems, b-metric spaces and related fixed point theory. This book is useful to researchers, experts and scientists in studying the cutting-edge research in topology and related areas and helps them applying topology in solving real-life problems the society and science are facing these days.

Contents:

Chapter 1. Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces

Chapter 2. Contra Continuity Properties of Relations in Relator Spaces

Chapter 3. The Continuous Representation Property in Utility Theory

Chapter 4. On Quasi-Uniformities, Function Spaces and Atoms: remarks and some Questions

Chapter 5. Some Cardinal Estimations via the Inclusion-Exclusion Principle in Finite T0 Topological Spaces

Chapter 6. Representations of preference relations with preutility functions on metric spaces

Chapter 7. Entropy of a pairwise continuous map in NWPC bitopological dynamical systems

Chapter 8. Topological Approaches for Vector Variational Inequality Problems

Chapter 9. Ideals and Grills associated with a Rough set

Chapter 10. Filter verses ideal on topological spaces

Chapter 11. Fisher Type Set-valued Mappings in b-metric spaces and an Application to Integral Inclusion

Chapter 12. Topological aspects of granular computing

Chapter 13. On topological index of naturally occurring zeolite material [4, n]

Chapter 14. q-Rung Orthopair Fuzzy Points and Applications to q-Rung Orthopair Fuzzy Topological Spaces and Pattern Recognition.

Notes:

Includes bibliographical references.

Description based on online resource.

ISBN:

981-9901-51-0

9789819901517