Bicolour painting of the Descartes products
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 $ZFC$.
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| Date: | 1990 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8852 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |