Geodesic
Weak normality forms outside of a diagonal
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 65-67

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In some model of ZFC, it is proved that regular $F_\sigma$-paranormal off of the diagonal countably compact spaces are first countable and compact. 
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A. P. Kombarov. Weak normality forms outside of a diagonal. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 65-67. http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a8/