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We study the Oka properties of complements of closed countable sets in$\mathbb{C}^{n}\ (n>1)$ which are not necessarily discrete. Our main resultstates that every tame closed countable set in $\mathbb{C}^{n}\ (n>1)$ with adiscrete derived set has an Oka complement. As an application, we obtainnon-elliptic Oka manifolds which negatively answer a long-standing question ofGromov. Moreover, we show that these examples are not even weakly subelliptic.It is also proved that every finite set in a Hopf manifold has an Okacomplement and an Oka blowup.

Oka complements of countable sets and non-elliptic Oka manifolds