English

Mapping and fixed point property theorems for inverse limits with set-valued bonding functions

Dynamical Systems 2021-12-14 v1

Abstract

Among other results, the paper gives new mapping theorems and new fixed point property theorems for inverse limits of inverse sequences of compact metric spaces with upper semicontinuous set-valued bonding functions. We also revisit the results from two papers, Mioduszewski's ''Mappings of inverse limits'' and Feuerbacher's ''Mappings of inverse limits revisited''.

Keywords

Cite

@article{arxiv.2112.06834,
  title  = {Mapping and fixed point property theorems for inverse limits with set-valued bonding functions},
  author = {Iztok Banic and Goran Erceg and Judy Kennedy},
  journal= {arXiv preprint arXiv:2112.06834},
  year   = {2021}
}
R2 v1 2026-06-24T08:15:25.377Z