English

Condensation rank of injective Banach spaces

Functional Analysis 2011-04-27 v1

Abstract

The condensation rank associates any topological space with a unique ordinal number. In this paper we prove that the condensation rank of any infinite dimensional injective Banach space is equal to or greater than the first uncountable ordinal number.

Keywords

Cite

@article{arxiv.1104.4896,
  title  = {Condensation rank of injective Banach spaces},
  author = {Majid Gazor},
  journal= {arXiv preprint arXiv:1104.4896},
  year   = {2011}
}