Mirror symmetry: What is it for relational space to be orientable?
In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press (2003)
|Abstract||As Pooley (2001) explains, the challenge of giving a relational account of orientability (and topology more generally) is not an easy one. This paper criticizes Pooley's and other proposals, raises a range of problems for the project, and then proposes a novel way for the relationist to understand not only topology, but also the geometry of space. This proposal is the `regularity account' since it claims that geometry and topology supervene on the regular ways in which relations evolve|
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