Bicolour painting of the Descartes products

• Дата: 1990
• Автори: Zelenyuk, E. G., Malykhin, V. I., Зеленюк, Е. Г., Малыхин, В. И.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1990
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8852
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We shall color the Cartesian product $\omega ´ \omega_1$ with two colors. Can an infinite subset $A\subset \omega$ and an uncountable subset $B\subset \omega_1$ be found such that the product $A´B$ can be one-colored? This problem proves to be unsolvable in $ZFC$.