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arXiv · 1707.05027

Configuration spaces form a Segal semi-dendroidal space

Philip Hackney
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Abstract

The purpose of this short note is to illustrate the utility of (semi-) dendroidal objects in describing certain 'up-to-homotopy' operads. Specifically, we exhibit a semi-dendroidal space satisfying the Segal condition, whose evaluation at a k-corolla is the space of ordered configurations of k points in the n-dimensional unit ball.

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Philip Hackney. 2017-07-17. Configuration spaces form a Segal semi-dendroidal space. https://arxiv.org/abs/1707.05027

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