Set theory and the analyst
作者： Nicholas H. Bingham , Adam J. Ostaszewski
DOI: 10.1007/S40879-018-0278-1
关键词: Algebraic geometry 、 Lebesgue integration 、 Duality (optimization) 、 Mathematics 、 Algebra 、 General topology 、 AND gate
摘要: This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category (Lebesgue) measure—category-measure duality non-duality, as it were. The bulk of text devoted to a summary, intended for working analyst, extensive background set theory logic needed discuss such matters: quote from preface Kelley (General Topology, Van Nostrand, Toronto, 1995): “what every young analyst should know”.
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sci-hub.se 参考文章(180)
William WEISS, Versions of Martin's Axiom Handbook of Set-Theoretic Topology. pp. 827- 886 ,(1984) , 10.1016/B978-0-444-86580-9.50022-7
David Pincus, The strength of the Hahn-Banach theorem Springer Berlin Heidelberg. pp. 203- 248 ,(1974) , 10.1007/BFB0066014
Robert M. Solovay, The independence of DC from AD Springer, Berlin, Heidelberg. pp. 171- 183 ,(1978) , 10.1007/BFB0069299
The Real Line The Structure of the Real Line. pp. 39- 71 ,(2011) , 10.1007/978-3-0348-0006-8_2
Michael Hallett, Absoluteness and the Skolem Paradox Springer, Dordrecht. pp. 189- 218 ,(2011) , 10.1007/978-94-007-0214-1_10
Adam Ostaszewski, Shift-compactness in almost analytic submetrizable baire groups and spaces Department of Mathematics, Auburn University, Alabama. ,(2013)
Steve Jackson, Ad and the projective ordinals Springer Berlin Heidelberg. pp. 117- 220 ,(1988) , 10.1007/BFB0084974
Herbert Meschkowski, Axiomatisierung der Mengenlehre Probleme des Unendlichen. pp. 178- 201 ,(1967) , 10.1007/978-3-663-02977-9_13
Peter Koellner, W. Hugh Woodin, Large Cardinals from Determinacy Springer Netherlands. pp. 1951- 2119 ,(2010) , 10.1007/978-1-4020-5764-9_24
Edgar Berz, Sublinear functions onR Aequationes Mathematicae. ,vol. 12, pp. 200- 206 ,(1975) , 10.1007/BF01836548