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This survey stems from Amnon Neeman's lecture series at Ohakawa's memorialworkshop. Starting with Ohakawa's theorem, this survey intends to supply enoughmotivation, background and technical details to read Neeman's recent papers onhis "approximable triangulated categories" and his $D_{coh}^b(X)$ stronggeneration sufficient criterion via de Jong's regular alteration, even fornon-experts.  At the same time, the author, who happens to be a coorganizer of thisworkshop and an editor of the follow-up proceedings to be published as a seriesin Springer Proceedings in Mathematics and Statistics, repeatedly mentionedrich mathematical interaction with other papers in the proceedings, wheneverappropriate.

From Ohkawa to strong generation via approximable triangulated categories -- a variation on the theme of Amnon Neeman's Nagoya lecture series