On 3-topological version of θ-regularity

Kovár, Martin M.

doi:https://doi.org/10.1155/S0161171200001678

International Journal of Mathematics and Mathematical Sciences

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Volume 23 |Article ID 854254 | https://doi.org/10.1155/S0161171200001678

Martin M. Kovár, "On 3-topological version of θ-regularity", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 854254, 6 pages, 2000. https://doi.org/10.1155/S0161171200001678

On 3-topological version of θ-regularity

Martin M. Kovár¹

¹Department of Mathematics, Faculty of Electrical Engineering and Computer Science, Technical University of Brno, Technická 8, Czech Republic

Received14 Jul 1998

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.

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Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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