English

On the homotopy type of choice spaces

Algebraic Topology 2018-07-23 v1

Abstract

We study continuous, symmetric and unanimous aggregation functions and continuous majority functions and prove that such functions exist on a choice space if and only if the choice space is contractible.

Keywords

Cite

@article{arxiv.1807.07841,
  title  = {On the homotopy type of choice spaces},
  author = {Shreyas Samaga},
  journal= {arXiv preprint arXiv:1807.07841},
  year   = {2018}
}