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Sequential Order Under PFA

  Published:2010-08-26
 Printed: Jun 2011
  • Alan Dow,
    Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, U.S.A.
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Abstract

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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