The Baire category theorem in weak subsystems of second-order arithmetic
نویسندگان
چکیده
منابع مشابه
The Baire Category Theorem in Weak Subsystems of Second-Order Arithmetic
Working within weak subsystems of second-order arithmetic Z2 we consider two versions of the Baire Category theorem which are not equivalent over the base system RCAo. We show that one version (B.C.T.I) is provable in RCAo while the second version (B.C.T.II) requires a stronger system. We introduce two new subsystems of Z2, which we call RCA' and WKL', and show that RCA' suffices to prove B.C.T...
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This paper is part of the program of reverse mathematics. We assume the reader is familiar with this program as well as with RCA,, and WKL,, the two weak subsystems of second-order arithmetic we are going to work with here. (If not, a good place to start is [2].) In [2], [3], [4], many well-known theorems about countable rings, countable fields, etc. were studied in the context of reverse mathe...
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ژورنال
عنوان ژورنال: Journal of Symbolic Logic
سال: 1993
ISSN: 0022-4812,1943-5886
DOI: 10.2307/2275219