Configuration spaces form a Segal semi-dendroidal space
Algebraic Topology
2020-07-03 v1
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.
Cite
@article{arxiv.1707.05027,
title = {Configuration spaces form a Segal semi-dendroidal space},
author = {Philip Hackney},
journal= {arXiv preprint arXiv:1707.05027},
year = {2020}
}
Comments
six pages