New Foundations for Physical Geometry The Theory of Linear Structures

Tim Maudlin was born and raised in Washington DC. Having received his BA in Physics and Philosophy from Yale and his PhD in History and Philosophy of Science from the University of Pittsburgh, he was a faculty member at Rutgers University for a quarter century before joining New York University in 2011. He has been a visiting professor of philosophy at Harvard.

Acknowledgments
Introduction
Mathematical Foundations
1. Topology and Its Shortcomings
2. Linear Structures, Neighborhoods, Open Sets
Appendix to Chapter 2
3. Closed Sets, Open Sets (Again), Connected Spaces
4. Separation Properties, Convergence, and Extensions
5. Properties of Functions
6. Subspaces and Substructures; Straightness and Differentiability
7. Metrical Structure
Appendix: A Remark about Minimal Regular Metric Spaces
8. Product Spaces and Fiber Bundles
9. Beyond Continua
Axioms and Definitions
Bibliography