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MLQ
2007
83views more  MLQ 2007»
14 years 12 months ago
Computing the complexity of the relation of isometry between separable Banach spaces
We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris [1] and Mayer-Wolf [4]. We show that this relation ...
Julien Melleray
83
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MLQ
2007
65views more  MLQ 2007»
14 years 12 months ago
Non-standard analysis in ACA0 and Riemann mapping theorem
Abstract. This research is motivated by the program of Reverse Mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second order arithmetic...
Keita Yokoyama
70
Voted
MLQ
2010
65views more  MLQ 2010»
14 years 10 months ago
Tautologies over implication with negative literals
We consider logical expressions built on the single binary connector of implication and a finite number of literals (boolean variables and their negations). We prove that asympto...
Hervé Fournier, Danièle Gardy, Antoi...
60
Voted
MLQ
2006
77views more  MLQ 2006»
15 years 10 days ago
How much sweetness is there in the universe?
Abstract. We continue investigations of forcing notions with strong ccc properties introducing new methods of building sweet forcing notions. We also show that quotients of topolog...
Andrzej Roslanowski, Saharon Shelah
98
Voted
MLQ
2000
90views more  MLQ 2000»
15 years 5 days ago
Approximate Reasoning Based on Similarity
The connection between similarity logic and the theory of closure operators is examined. Indeed one proves that the consequence relation defined in [14] can be obtained by composin...
Loredana Biacino, Giangiacomo Gerla, Mingsheng Yin...