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Modern Combinatorial Set Theory and Large Cardinal Properties
Submission Deadline: Dec. 20, 2014
Lead Guest Editor
Guest Editor
  • Professor Alex Potapov
    Institute of Radioengineering and Electronics (IRE) of Russian Academy of Sciences, Moscow, Russia
Guidelines for Submission
Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.
Papers should be formatted according to the guidelines for authors (see: http://www.sciencepublishinggroup.com/journal/guideforauthors?journalid=141). By submitting your manuscripts to the special issue, you are acknowledging that you accept the rules established for publication of manuscripts, including agreement to pay the Article Processing Charges for the manuscripts. Manuscripts should be submitted electronically through the online manuscript submission system at http://www.sciencepublishinggroup.com/login. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal and will be listed together on the special issue website.
Published Papers
Authors: Jaykov Foukzon
Pages: 6-12 Published Online: Jan. 19, 2015
Views 3283 Downloads 167
Authors: Jaykov Foukzon
Pages: 1-5 Published Online: Oct. 31, 2014
Views 3537 Downloads 197
The tools of modern combinatorial set theory, such as combinatorial principles, partition calculus, infinite trees, ultrapowers, forcing axioms, and large cardinal axioms, have been very successful in resolving problems in areas such as general topology, abstract functional analysis, measure theory, and algebra.

The topics include (but are not limited to):

1.Logical Foundations of Mathematics
2.Large Cardinal properties
3.Independence and Large Cardinals
4.Consistency of large cardinal axioms
5.Large cardinal axioms and Grothendieck universes
6.Implications between strong large cardinal axioms
7.Solovay hierarchy
8.Large Cardinals with forcing
9.Large Cardinals and Consistency Results in Topology
10.Infinitary languages and classification of uncountable structures
11.Applications of set theory to Banach spaces, algebra, topology and measure theory
12.Inner models of large cardinals and aspects of determinacy
13. Contemporary nonstandard analysis and possible generalizations
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