International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 6, Pages 393-398
doi:10.1155/S0161171200001678
On 3-topological version of θ-regularity
Martin M. Kovár
Department of Mathematics, Faculty of Electrical Engineering and Computer Science, Technical University of Brno, Technická 8, Brno 616 69, Czech Republic
Abstract
We modify the concept of θ-regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael's theorem for several variants of bitopological paracompactness is proved.