Three countably compact spaces

[Moniker1998]

Space Suggestion

https://mathoverflow.net/questions/500289/countably-compact-t-2-spaces-with-g-delta-points

Relationship to other spaces and properties

1. Countably compact $T_2$ space with countable pseudocharacter which is not $T_3$ (Nyikos)
2. Countably compact $T_2$ first countable space which is not $T_{3.5}$ (Vaughan)
3. Countably compact $T_{3.5}$ first countable space which is not $T_4$ (Vaughan)