English

A Fixed Point Conjecture

General Mathematics 2007-09-05 v2

Abstract

Inverse limits, unlike direct limits, can in general be void, [1]. The existence of fixed points for arbitrary mappings T:XXT : X \longrightarrow X is conjectured to be equivalent with the fact that related direct limits of all finite partitions of X are not void.

Keywords

Cite

@article{arxiv.0709.0084,
  title  = {A Fixed Point Conjecture},
  author = {Elemer E Rosinger},
  journal= {arXiv preprint arXiv:0709.0084},
  year   = {2007}
}
R2 v1 2026-06-21T09:13:01.624Z