Forcing in analysis

In this paper we develop a method for applying "forcing techniques" (or equivalently "category arguments") in the analytical hierarchy. We present here the basic general theory and some simple applications. In a subsequent publication, which is in preparation, further and technically more complicated applications will be given, including perfect set forcing and in particular the results in the circulated note [Ke 1], which are summarized in Section 6. ; Â© 1977 Springer. Research and preparation of this paper were partially supported by NSF Grants MPS-07562 and MGS 76-17254 resp.

Country

United States

Related Organizations

California Institute of Technology
United States

Keywords

330, 510

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