Methodological challenges and analytic opportunities for modeling and interpreting Big Healthcare Data

ID Dinov - Gigascience, 2016 - academic.oup.com
Managing, processing and understanding big healthcare data is challenging, costly and
demanding. Without a robust fundamental theory for representation, analysis and inference …

[HTML][HTML] Introducing BASE: the Biomes of Australian Soil Environments soil microbial diversity database

A Bissett, A Fitzgerald, T Meintjes, PM Mele, F Reith… - GigaScience, 2016 - Springer
Background Microbial inhabitants of soils are important to ecosystem and planetary
functions, yet there are large gaps in our knowledge of their diversity and ecology. The …

Questions on generalised Baire spaces

Y Khomskii, G Laguzzi, B Löwe… - Mathematical Logic …, 2016 - Wiley Online Library
Questions on generalised Baire spaces - Khomskii - 2016 - Mathematical Logic Quarterly -
Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online Library …

Cichoń's diagram for uncountable cardinals

J Brendle, A Brooke-Taylor, SD Friedman… - Israel Journal of …, 2018 - Springer
We develop a version of Cichoń's diagram for cardinal invariants on the generalized Cantor
space 2 κ or the generalized Baire space κ κ, where κ is an uncountable regular cardinal …

[图书][B] Views from a peak: Generalisations and descriptive set theory

NJH Wontner - 2023 - eprints.illc.uva.nl
This dissertation has two major threads, one is mathematical, namely descriptive set theory,
the other is philosophical, namely generalisation in mathematics. Descriptive set theory is …

[PDF][PDF] Shelah's Main Gap and the generalized Borel-reducibility

M Moreno - Preprint, 2023 - miguelmath.com
We answer one of the main questions in generalized descriptive set theory, the Friedman-
Hyttinen-Kulikov conjecture on the Borel reducibility of the Main Gap. We show a correlation …

[HTML][HTML] Models of set theory in which nonconstructible reals first appear at a given projective level

V Kanovei, V Lyubetsky - Mathematics, 2020 - mdpi.com
Models of set theory are defined, in which nonconstructible reals first appear on a given
level of the projective hierarchy. Our main results are as follows. Suppose that n≥ 2. Then …

Continuous images of closed sets in generalized Baire spaces

P Lücke, P Schlicht - Israel Journal of Mathematics, 2015 - Springer
Let κ be an uncountable cardinal with κ= κ^< κ. Given a cardinal µ, we equip the set^ κ μ
consisting of all functions from κ to μ with the topology whose basic open sets consist of all …

[HTML][HTML] Regularity properties on the generalized reals

SD Friedman, Y Khomskii, V Kulikov - Annals of Pure and Applied Logic, 2016 - Elsevier
Regularity properties on the generalized reals - ScienceDirect Skip to main contentSkip to article
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A generalized Borel-reducibility counterpart of Shelah's main gap theorem

T Hyttinen, V Kulikov, M Moreno - Archive for Mathematical Logic, 2017 - Springer
We study the κ κ-Borel-reducibility of isomorphism relations of complete first order theories in
a countable language and show the consistency of the following: For all such theories T and …