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Lebesgue numbers and Atsuji spaces in subsystems of second-order arithmetic

✍ Scribed by Mariagnese Giusto; Alberto Marcone


Publisher
Springer
Year
1998
Tongue
English
Weight
210 KB
Volume
37
Category
Article
ISSN
0933-5846

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## Abstract In this paper we study the determinacy strength of infinite games in the Cantor space and compare them with their counterparts in the Baire space. We show the following theorems: 1. RCA~0~ ⊒ $ \Delta^0\_1 $‐Det\* ↔ $ \Sigma^0\_1 $‐Det\* ↔ WKL~0~. 2. RCA~0~ ⊒ ($ \Sigma^0\_1 $)2‐Det\* ↔

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