Deleted Dieudonné plank or Dieudonné plank

The subspace XX of Dieudonné plank obtained by removing the point ω1,ω\langle\omega_1,\omega\rangle. So X=(Y×Z){ω1,ω}X=(Y\times Z)\setminus\{\langle\omega_1,\omega\rangle\} where Y=[0,ω1]Y=[0,\omega_1] is given the topology with points of [0,ω1)[0,\omega_1) isolated and neighborhoods of ω1\omega_1 cocountable, and Z=[0,ω]Z=[0,\omega] is given the topology with points of [0,ω)[0,\omega) isolated and neighborhoods of ω\omega cofinite.

Defined as counterexample #89 ("Dieudonné Plank") in DOI 10.1007/978-1-4612-6290-9. Note that the pi-Base qualifies this name with "Deleted" to align with e.g. Tychonoff plank and Deleted Tychonoff plank.