English

Extensions and factorizations of topological and semitopological universal algebras

General Topology 2024-06-11 v3 Rings and Algebras

Abstract

The possibility of extending operations of topological and semitopological algebras to their Stone-\v{C}ech compactification and factorization of continuous functions through homomorphisms to metrizable algebras are investigated. Most attention is paid to pseudocompact and compact algebras.

Keywords

Cite

@article{arxiv.2402.01418,
  title  = {Extensions and factorizations of topological and semitopological universal algebras},
  author = {Evgenii Reznichenko},
  journal= {arXiv preprint arXiv:2402.01418},
  year   = {2024}
}