A5025193823- Advanced Topology and Set Theory
- Rings, Modules, and Algebras
- Advanced Banach Space Theory
- Computability, Logic, AI Algorithms
- Economic theories and models
- Rough Sets and Fuzzy Logic
- Fuzzy and Soft Set Theory
- Commutative Algebra and Its Applications
- Algebraic Geometry and Number Theory
- Mathematical and Theoretical Analysis
- Limits and Structures in Graph Theory
- RFID technology advancements
- Advanced Graph Theory Research
- Approximation Theory and Sequence Spaces
Sichuan University
2013-2023
Bar-Ilan University
2021
Nankai University
2021
It is shown that the isomorphism relation between continuous t-norms Borel bireducible with of order linear orders on set natural numbers, and therefore, it every complete equivalence relation.
We study $\mathcal I$-maximal eventually different families of functions from the set natural numbers into itself where I$ is an arbitrary ideal on that includes all finite sets $\mathrm{fin}$. introduce class uniformly weak Ramsey ideals and prove there exists a closed family if belongs to this class; case for $F_\sigma$ Fubini products $\mathrm{fin}^{\alpha}$ with $\alpha<\omega_1$.
Abstract We investigate the Tukey order in class of $F_{\sigma }$ ideals subsets $\omega $ . show that no nontrivial ideal is below a $G_{\delta compact sets. introduce notions flat and gradually ideals. prove dichotomy theorem for isolating gradual flatness as side structurally good. give diverse characterizations among using reductions games. For example, we are precisely those density zero
In this paper, we prove that every non-meager P-filter F is a PSP(Σ11)-filter (that is, A∩F has the perfect set property whenever A an analytic subset of 2ω) and filter product Ramsey ultrafilter Pω2-point PSP(Σ11)-ultrafilter. These theorems strengthen result Miller answer some questions asked by Andrea Medini David Milovich.
We investigate the Tukey order in class of $F_σ$ ideals subsets $ω$. show that no nontrivial ideal is below a $G_δ$ compact sets. introduce notions flat and gradually ideals. prove dichotomy theorem for isolating gradual flatness as side structurally good. give diverse characterizations among using reductions games. For example, we are precisely those density zero
Abstract In this paper, we construct group trees of tame Polish groups the form , where are countable abelian. Our first example all torsion reaches known upper bound . Next give examples having height for any close to