English

Extending binary operations to funtor-spaces

Category Theory 2011-08-23 v2 General Topology

Abstract

Given a continuous monadic functor T in the category of Tychonov spaces for each discrete topological semigroup X we extend the semigroup operation of X to a right-topological semigroup operation on TX whose topological center contains the dense subsemigroup of all elements of TX that have finite support.

Keywords

Cite

@article{arxiv.1001.0557,
  title  = {Extending binary operations to funtor-spaces},
  author = {Taras Banakh and Volodymyr Gavrylkiv},
  journal= {arXiv preprint arXiv:1001.0557},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T14:30:47.124Z