JEDNOSTKA NAUKOWA KATEGORII A+

Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions

Tom 63 / 2015

Arthur W. Apter Bulletin Polish Acad. Sci. Math. 63 (2015), 185-194 MSC: 03E35, 03E55. DOI: 10.4064/ba8014-12-2015 Opublikowany online: 14 December 2015

Streszczenie

We construct a model for the level by level equivalence between strong compactness and supercompactness with an arbitrary large cardinal structure in which the least supercompact cardinal $\kappa $ has its strong compactness indestructible under $\kappa $-directed closed forcing. This is in analogy to and generalizes the author’s result in Arch. Math. Logic 46 (2007), but without the restriction that no cardinal is supercompact up to an inaccessible cardinal.

Autorzy

  • Arthur W. ApterDepartment of Mathematics
    Baruch College of CUNY
    New York, NY 10010, U.S.A.
    and
    The CUNY Graduate Center, Mathematics
    365 Fifth Avenue
    New York, NY 10016, U.S.A.
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek