The universal property of derived geometry

Andrew W. Macpherson

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arXiv · 1701.08359

The universal property of derived geometry

Andrew W. Macpherson

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Abstract

Derived geometry can be defined as the universal way to adjoin finite homotopical limits to a given category of manifolds compatibly with products and glueing. The point of this paper is to show that a construction closely resembling existing approaches to derived geometry in fact produces a geometry with this universal property. I also investigate consequences of this definition in particular in the differentiable setting, and compare the theory so obtained to D. Spivak's axioms for derived C-infinity geometry.

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Andrew W. Macpherson. 2017-01-29. The universal property of derived geometry. https://arxiv.org/abs/1701.08359

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