Transitivity in uniform approach theory

Y. J. Lee, B. Windels
2002 International Journal of Mathematics and Mathematical Sciences  
We introduce a notion of transitivity for approach uniformities and approach uniform convergence spaces, yielding reflective subconstructs ofAUnifandAUCS. Further, we investigate how these new categories are related touACHY,uACHY U , anduMET, and we show that these relationships are similar to those in the classical case.
doi:10.1155/s0161171202202355 fatcat:qmppsl7hy5hmtmbua6qx5o4bqy