A rigorous guide at the crossroads of topology and choice theory, showing how connected spaces can support robust representations of preferences without separability.
This book investigates how the structure of preferences can be understood through topological ideas. It extends classic results by showing that key representations can exist under connectivity alone, relaxing older assumptions like arcwise connectedness and separability.
- Explanations of semiclosed and closed preorders and how they influence representability.
- Extensions of Gorman’s structure results to broader spaces, without requiring separability.
- Connections to Debreu’s representation theorems and practical methods for utility construction.
- A clear path from abstract theory to applications in the study of preferences and decision making.
Ideal for readers of economic theory, functional equations, and decision science who want a deeper, topology‑driven view of how preferences can be represented and analyzed.