Inheriting the Anti-Specker Property

The antithesis of Specker's theorem from recursive analysis is further examined from Bishop's constructive viewpoint, with particular attention to its passage to subspaces and products. Ishihara's principle BD-$\mathbf N$ comes into play in the discussion of products with the anti-Specker property.

2010 Mathematics Subject Classification: 03F60, 54E35, 54E45

Keywords and Phrases: constructive, anti-Specker property, BD

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