It is shown that it follows from PFA that there is no compact scattered space of height greater than $\omega$ in which the sequential order and the scattering heights coincide.

Keywords:

sequential order, scattered spaces, PFA sequential order, scattered spaces, PFA

MSC Classifications:

54D55, 03E05, 03E35, 54A20 show english descriptions Sequential spaces
Other combinatorial set theory
Consistency and independence results
Convergence in general topology (sequences, filters, limits, convergence spaces, etc.) 54D55 - Sequential spaces
03E05 - Other combinatorial set theory
03E35 - Consistency and independence results
54A20 - Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)

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