Sentence examples for analytic sets from inspiring English sources

Thus, all analytic sets satisfy the CH.

And the co-analytic, or $\mathbf{\Pi}^1_1$, sets are the complements of analytic sets.

The analytic sets, also called $\mathbf{\Sigma}^1_1$, are the continuous images of Borel sets.

However, he was able to establish that the analytic sets, too, possess the perfect set property and thus verify CH.

We introduce new methods of complex analysis (inequalities of Bernstein type) to study projections of analytic sets.

We next recall, as in Nutz and Van Handel (2013), some basic notions from the theory of analytic sets.

Still, it's one thing to ask the question in an analytic setting.

It also proves that every analytic set has the perfect set property.

They can, however, through association (under the appropriate analytic set) be recovered, and brought to consciousness.

Thus our proofs are given in an abstract functional analytic setting, generalizing considerably the framework of compact manifolds with boundary.

The most important element of the analytic set was a GasmetTM DX-4000 IR spectrum analyzer (Figure 1, part C).