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Towards Point-Free Spacetimes

  • Nesta Van Der Schaaf

Event description

In this work-in-progress talk we highlight some recent developments in our study of spacetimes through the lens of point-free topology. The first half of the talk will gently introduce the notion of an "ordered locale," a type of point-free space equipped with a causal ordering. Throughout, we draw intuition from the causal structure of spacetimes to guide our way. The latter part of the talk explores how two important notions from mathematical relativity might be developed for ordered locales: the so-called "causal ladder," and a "causal boundary" construction. (Based on joint work with Chris Heunen and Prakash Panangaden.)

Towards Point-Free Spacetimes


Higgs Centre Seminar Room, JCMB (Find us on campus maps)
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road

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