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arXiv · 1304.1662

Absolutely homotopy-cartesian squares

Rosona Eldred
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Abstract

We call a diagram D absolutely cartesian if F(D) is homotopy cartesian for all homotopy functors F. This is a sensible notion for diagrams in categories C where Goodwillie's calculus of functors may be set up for functors with domain C. We prove a classification theorem for absolutely cartesian squares of spaces and state a conjecture of the classification for higher dimensional cubes.

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Rosona Eldred. 2013-04-05. Absolutely homotopy-cartesian squares. https://arxiv.org/abs/1304.1662

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