- J. D. Hamkins and S. Shelah, “Superdestructibility: a dual to Laver’s indestructibility,” J.~Symbolic Logic, vol. 63, iss. 2, pp. 549-554, 1998. ([HmSh:618])
`@article {HamkinsShelah98:Dual, AUTHOR = {Hamkins, Joel David and Shelah, Saharon}, TITLE = {Superdestructibility: a dual to {L}aver's indestructibility}, JOURNAL = {J.~Symbolic Logic}, FJOURNAL = {The Journal of Symbolic Logic}, VOLUME = {63}, YEAR = {1998}, NUMBER = {2}, PAGES = {549--554}, ISSN = {0022-4812}, CODEN = {JSYLA6}, MRCLASS = {03E55 (03E40)}, MRNUMBER = {1625927 (99m:03106)}, MRREVIEWER = {Douglas R.~Burke}, DOI = {10.2307/2586848}, URL = {http://dx.doi.org/10.2307/2586848}, note = {[HmSh:618]}, eprint = {math/9612227}, archivePrefix = {arXiv}, primaryClass = {math.LO}, }`

After small forcing, any $<\kappa$-closed forcing will destroy the supercompactness, even the strong compactness, of $\kappa$.