English

There is no monad based on Hartman-Mycielski functor

General Topology 2012-12-07 v1

Abstract

We show that there is no monad based on the normal functor HH introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction HMHM.

Keywords

Cite

@article{arxiv.1212.1312,
  title  = {There is no monad based on Hartman-Mycielski functor},
  author = {Lesya Karchevska and Iryna Peregnyak and Taras Radul},
  journal= {arXiv preprint arXiv:1212.1312},
  year   = {2012}
}