## 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~ β’ $ \Delta^0\_1 $βDet\* β $ \Sigma^0\_1 $βDet\* β WKL~0~. 2. RCA~0~ β’ ($ \Sigma^0\_1 $)2βDet\* β
β¦ LIBER β¦
Lebesgue numbers and Atsuji spaces in subsystems of second-order arithmetic
β 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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