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3. The Computable Dimension of I-Trees of Infinite Height

Author

O. V. Kudinov, Russell Miller, and N. T. Kogabaev

Subjects
Combinatorics, Dimension (vector space), Logic, Computable number, Algebra over a field, Categorical variable, Analysis, Mathematics
Abstract

We study computable trees with distinguished initial subtree (briefly, I-trees). It is proved that all I-trees of infinite height are computably categorical, and moreover, they all have effectively infinite computable dimension.

Published
2004

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