Tag Archives: Bernhard Riemann

The definition of toposes has surprisingly powerful consequences. (For example, toposes have all finite colimits.) Probably the best analogy elsewhere in which a couple of mild-sounding hypotheses pick out a very narrow and interesting class of examples is the way … Continue reading

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Space

The word ‘space’ has acquired several meanings, which is what you would expect of such a sexy, primitive, metaphorically rich, eminently repurposeable concept. Outer space, of course, is where cosmonauts, Hubble telescopes, television satellites, and aliens reside. It’s ℝ³, or … Continue reading

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Spacetime is Curved

“General relativity can be summed up in two statements: Spacetime is a curved pseudo-Riemannian manifold with a metric of signature . The relationship between matter and the curvature of spacetime is contained in the equation.” —Sean Carroll There you have … Continue reading

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