The consistency of level by level equivalence with $V = {\rm HOD}$, the Ground Axiom, and instances of square and diamond

Tom 68 / 2020

Arthur W. Apter Bulletin Polish Acad. Sci. Math. 68 (2020), 1-10 MSC: 03E35, 03E55. DOI: 10.4064/ba180529-14-3 Opublikowany online: 3 April 2020

Streszczenie

We construct via forcing a model for the level by level equivalence between strong compactness and supercompactness in which both $V = {\rm HOD}$ and the Ground Axiom (GA) are true. In our model, various versions of the combinatorial principles $\square $ and $\diamondsuit $ hold. In the model constructed, there are no restrictions on the class of supercompact cardinals.

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.
    ORCID: 0000-0002-7091-3628
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek