English

Feeding and killing end points in chainable continua

General Topology 2021-01-01 v1

Abstract

Using the classical technique of condensation of singularities, we prove that, for every zero-dimensional, complete separable metric space GG, there exists a Suslinian, chainable metric continuum whose set of end points is homeomorphic to GG. This answers a question posed by R. Adikari and W. Lewis in [Houston J. Math. 45 (2019), no. 2, pp. 609--624].

Keywords

Cite

@article{arxiv.2012.15632,
  title  = {Feeding and killing end points in chainable continua},
  author = {Jerzy Krzempek},
  journal= {arXiv preprint arXiv:2012.15632},
  year   = {2021}
}

Comments

10 pp. Submitted to Topology and Its Applications

R2 v1 2026-06-23T21:38:48.321Z