English

Homotopy classes of maps between Knaster continua

General Topology 2007-05-23 v1

Abstract

By a Knaster continuum we understand the inverse limit of copies of [0,1] with open bonding maps. We prove that for any two Knaster continua K_1 and K_2, there are 2^\aleph_0 distinct homotopy types of maps of K_1 onto K_2 that map the endpoint of K_1 to the endpoint of K_2.

Keywords

Cite

@article{arxiv.math/9904162,
  title  = {Homotopy classes of maps between Knaster continua},
  author = {Piotr Minc},
  journal= {arXiv preprint arXiv:math/9904162},
  year   = {2007}
}

Comments

7 pages, 1 figure