Functorial admissible quasi-uniformities on topological spaces

  title={Functorial admissible quasi-uniformities on topological spaces},
  author={Hans-Peter A. Kihzi},
Let 7’ denote the forgetful fuactor from the cat of quasi-unif~ spuces and quasiuniformly continuous maps to the cutegory Top o andcuntinuqus the first part of this paper we develop a general method to quasi-uniformities 6n topological spaces. We use t&s technique to er a question Oa G.C.L Briimmer in the negative by exhibiting a nontransitive T-section that is @aarser than the (transitive) locally finite covering quasi-uniformity. In the second part of this paper we skw that the Pervin functor… CONTINUE READING