1. Failure of Approachability at the Successor of the first Singular for any Cofinality
   2025/03/24 by Jakob, Hannes, Levine, Maxwell · 3 citations
   #03E04 #03E05 #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)
2. Monotonicity of the ultrafilter number function
   2025/01/24 by Toshimichi Usuba, Usuba, Toshimichi · 2 citations
   Mathematics · #03E10 #03E35 #03E55 #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Logic (math.LO) #Mathematical and Theoretical Analysis
3. Proxy principles in combinatorial set theory
   2024/03/21 by Ari Meir Brodsky, Brodsky, Ari Meir, Assaf Rinot +3 · 2 citations
   Computer Science · Engineering · Mathematics · #03E35 #Advanced Mathematical Theories #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Primary 03E65. Secondary 03E05 #graph theory and CDMA systems
4. Classical Namba forcing can have the weak countable approximation property
   2023/12/21 by Levine, Maxwell · 1 citation
   #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)
5. Descriptive properties of I2-embeddings
   2023/11/01 by Vincenzo Dimonte, Dimonte, Vincenzo, Martina Iannella +3 · 1 citation
   Computer Science · Mathematics · #03E35 #03E45 #03E47 #03E55 #Advanced Topology and Set Theory #Benford’s Law and Fraud Detection #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO)
6. Concentrated sets and γ-sets in the Miller model
   2023/10/05 by Haberl, Valentin, Szewczak, Piotr, Zdomskyy, Lyubomyr · 2 citations
   #03E35 #03E75 #54D20 #FOS: Mathematics #General Topology (math.GN)
7. Selective separability properties of Fréchet-Urysohn spaces and their products
   2023/05/26 by Serhii Bardyla, Bardyla, Serhii, Fortunato Maesano +3 · 2 citations
   Mathematics · #03E17 #03E35 #03E65 #54D65 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #Primary: 03E50 #Secondary: 54D10
8. Frucht's Theorem without Choice
   2023/05/19 by Pinsky, Brian · 1 citation
   #03E25 #03E35 #03E70 #05C25 #20A10 #FOS: Mathematics #Logic (math.LO)
9. On minimal non-σ-scattered linear orders
   2023/04/06 by Eisworth, Todd, Cummings, James, Moore, Justin Tatch · 2 citations
   #03E04 #03E35 #03E45 #06A05 #FOS: Mathematics #Logic (math.LO)
10. Guessing models, trees, and cardinal arithmetic
    2023/03/02 by Chris Lambie‐Hanson, Šárka Stejskalová, Lambie-Hanson, Chris +1 · 1 citation
    Computer Science · Mathematics · #03E35 #03E55 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge
11. Two-cardinal ideal operators and indescribability
    2022/06/13 by Cody, Brent, White, Philip · 1 citation
    #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)
12. On resolvability of products
    2022/05/30 by Juhász, István, Soukup, Lajos, Szentmiklóssy, Zoltán · 1 citation
    #03E35 #03E55 #54A25 #54A35 #FOS: Mathematics #General Topology (math.GN)
13. Corona Rigidity
    2022/01/27 by Ilijas Farah, Saeed Ghasemi, Farah, Ilijas +5 · 1 citation
    Computer Science · Mathematics · #03C20 #03C50 #03C66 #03C98 #03E35 #03E50 #03E57 #03E65 #03E75 #06E05 #46L05 #46L40 #54C05 #54D40 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Operator Algebras (math.OA) #semigroups and automata theory
14. Projective well-orders and coanalytic witnesses
    2021/06/29 by Bergfalk, Jeffrey, Fischer, Vera, Switzer, Corey Bacal · 1 citation
    #03E17 (primary) #03E35 #03E50 #FOS: Mathematics #Logic (math.LO)
15. The cotorsion pair generated by the Gorenstein projective modules and λ-pure-injective modules
    2021/04/17 by Cortés-Izurdiaga, Manuel, Šaroch, Jan · 1 citation
    #03E35 #16Dxx #16E05 #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)
16. Unboring ideals
    2021/03/31 by Kwela, Adam · 1 citation
    #03E35 #26A03 #40A05 #54A20 #54H05 #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #Primary: 03E05. Secondary: 03E15
17. Almost Strong Properness
    2020/11/02 by Mohammadpour, Rahman · 1 citation
    #03E05 #03E35 #03E57 #FOS: Mathematics #Logic (math.LO)
18. Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces
    2019/11/21 by Dobrinen, Natasha, Flores, Sonia Navarro · 1 citation
    #03E05 #03E17 #03E35 #03E50 #05C55 #05D10 #3E02 #54D99 #FOS: Mathematics #Logic (math.LO)
19. Entangledness in Suslin lines and trees
    2019/10/19 by Krueger, John · 3 citations
    #03E05 #03E35 #FOS: Mathematics #Logic (math.LO)
20. Trivial Endomorphisms of the Calkin Algebra
    2019/10/16 by Vaccaro, Andrea · 2 citations
    #03E35 #03E75 #46L05 #FOS: Mathematics #Logic (math.LO) #Operator Algebras (math.OA)
21. Stationary Reflection and the failure of SCH
    2019/08/29 by Omer Ben-Neria, Ben-Neria, Omer, Yair Hayut +3 · 1 citation
    Computer Science · Mathematics · #03E35 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis
22. The Cohomology of the Ordinals I: Basic Theory and Consistency Results
    2019/02/07 by Bergfalk, Jeffrey, Lambie-Hanson, Chris · 1 citation
    #03E04 #03E10 #03E35 #54B40 #55N05 #Algebraic Topology (math.AT) #FOS: Mathematics #Logic (math.LO)
23. Embedding C^*-algebras into the Calkin algebra
    2018/09/29 by Ilijas Farah, Georgios Katsimpas, Farah, Ilijas +3 · 1 citation
    Computer Science · Mathematics · #03E35 #03E50 (Secondary) #03E75 (Primary) 46L05 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis #Operator Algebras (math.OA)
24. A forcing axiom for a non-special Aronszajn tree
    2018/05/21 by Krueger, John · 4 citations
    #03E35 #03E57 #FOS: Mathematics #Logic (math.LO)
25. Guessing models and the approachability ideal
    2018/02/27 by Mohammadpour, Rahman, Velickovic, Boban · 2 citations
    #03E05 #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)
26. Forcing and Construction Schemes
    2017/11/29 by Kalajdzievski, Damjan, Lopez, Fulgencio · 2 citations
    #03E05 #03E35 #03E65 #FOS: Mathematics #Logic (math.LO)
27. Reflection on the coloring and chromatic numbers
    2017/08/23 by Lambie-Hanson, Chris, Rinot, Assaf · 2 citations
    #03E35 #05C15 #05C63 #Combinatorics (math.CO) #FOS: Mathematics #Logic (math.LO)
28. There are no P-points in Silver extensions
    2017/03/06 by Chodounský, David, Guzmán, Osvaldo · 2 citations
    #03E35 #54A35 #54D40 #FOS: Mathematics #Logic (math.LO)
29. Extension operators and twisted sums of c₀ and C(K) spaces
    2017/03/06 by Marciszewski, Witold, Plebanek, Grzegorz · 1 citation
    #03E35 #46B25 #46B26 #46E15 (Primary) #54C55 #54D40 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)
30. Supercompact Extender Based Magidor-Radin Forcing
    2016/08/01 by Merimovich, Carmi · 1 citation
    #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)

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