English

Proximate fixed property and operations

General Topology 2013-05-03 v1

Abstract

Klee introduced the proximate fixed point property for compacta which is stronger than fixed point property. We consider relations between proximate fixed point property of spaces being result of application of different operations to continua. As an application we show this property for products, cones, suspensions and joins of span 0 continua.

Keywords

Cite

@article{arxiv.1305.0529,
  title  = {Proximate fixed property and operations},
  author = {Mirosław Sobolewski},
  journal= {arXiv preprint arXiv:1305.0529},
  year   = {2013}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-22T00:10:25.745Z