English

On the implication $T_{0} \Rightarrow T_{3 \frac{1}{2}}$ for some topological protomodular algebras

Category Theory 2019-05-21 v1 General Topology

Abstract

The notion of a right-cancellable protomodular algebra is introduced. It is proved that a right-cancellable topological protomodular algebra that satisfies the separation axiom T0T_{0} is completely regular.

Keywords

Cite

@article{arxiv.1905.07600,
  title  = {On the implication $T_{0} \Rightarrow T_{3 \frac{1}{2}}$ for some topological protomodular algebras},
  author = {Dali Zangurashvili},
  journal= {arXiv preprint arXiv:1905.07600},
  year   = {2019}
}