Cross Topology and Lebesgue Triples

• Date: 2013
• Main Authors: Karlova, O. O., Mykhailyuk, V. V., Карлова, О. О., Михайлюк, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2456
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The cross topology γ on the product of topological spaces X and Y is the collection of all sets G ⊆ X × Y such that the intersections of G with every vertical line and every horizontal line are open subsets of the vertical and horizontal lines, respectively. For the spaces X and Y from a class of sp...