Some applications of Sargsyan's equiconsistency method

Volume 216 / 2012

Arthur W. Apter Fundamenta Mathematicae 216 (2012), 207-222 MSC: 03E35, 03E45, 03E55. DOI: 10.4064/fm216-3-2


We apply techniques due to Sargsyan to reduce the consistency strength of the assumptions used to establish an indestructibility theorem for supercompactness. We then show how these and additional techniques due to Sargsyan may be employed to establish an equiconsistency for a related indestructibility theorem for strongness.


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

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