Computability in Europe 2008
Logic and Theory of Algorithms

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Regular Talk:
The almost zero omega-enumeration degrees

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Speaker: Ivan N. Soskov
Slot: Tue, 12:20-12:40, Room 24 (col. 3)


The almost zero  $\omega$-enumeration degrees are introduced in [1].

In the talk we shall present some properties of the almost zero degrees and
their role in the study of the $\omega$-enumeration degrees below the
first jump of $\mathbf{0}_\omega$ with respect to the relation

\mathbf{a}\preceq \mathbf{b}\iff (\exists n)

1. I. N. Soskov and H. Ganchev, {\it The jump operator on the
$\omega$-enumeration degrees}, to appear in Annals of Pure and
Applied Logic.

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