IJPAM: Volume 101, No. 2 (2015)
GENERALIZED DESCRIPTIVE SET THEORY
1613 Wintergreen Pl.
Costa Mesa, CA 92626, USA
Abstract. Downsets over a regular cardinal arise from normal form. For inaccessible downsets correspond to the trees of generalized descriptive set theory. Basic properties of downsets, trees, and the correspondence are considered. A new characterization of weak compactness is given. Some facts about WPS's are proved.
Received: February 2, 2015
AMS Subject Classification: 03E55
Key Words and Phrases: normal form, generalized Baire space
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DOI: 10.12732/ijpam.v101i2.15 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 305 - 324