English

A note on the continuous self-maps of the ladder system space

Functional Analysis 2013-03-04 v3 General Topology

Abstract

We give a partial characterization of the continuous self-maps of the ladder system space K_S. Our results show that K_S is highly nonrigid. We also discuss reasonable notions of "few operators" for spaces C(K) with scattered K and we show that C(K_S) does not have few operators for such notions.

Keywords

Cite

@article{arxiv.1208.5454,
  title  = {A note on the continuous self-maps of the ladder system space},
  author = {Claudia Correa and Daniel V. Tausk},
  journal= {arXiv preprint arXiv:1208.5454},
  year   = {2013}
}

Comments

6 pages (to appear in Acta Mathematica Hungarica)