Results 21 to 30 of about 1,996,642 (301)
On Schauder equivalence relations [PDF]
Mathematical Logic Quarterly, 2017 AbstractWe study Schauder equivalence relations, which are Borel equivalence relations induced by actions of Banach spaces with Schauder bases. Firstly, we show that and are minimal Schauder equivalence relations. Then, we prove that neither of them is Borel reducible to the quotient where T is the Tsirelson space. This implies that they cannot form
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FINITARY REDUCIBILITY ON EQUIVALENCE RELATIONS [PDF]
The Journal of Symbolic Logic, 2016 AbstractWe introduce the notion of finitary computable reducibility on equivalence relations on the domainω. This is a weakening of the usual notion of computable reducibility, and we show it to be distinct in several ways. In particular, whereas no equivalence relation can be${\rm{\Pi }}_{n + 2}^0$-complete under computable reducibility, we show that,
Russell G. Miller, Keng Meng Ng
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ANALYTIC EQUIVALENCE RELATIONS SATISFYING HYPERARITHMETIC-IS-RECURSIVE
Forum of Mathematics, Sigma, 2015 We prove, in $\text{ZF}+\boldsymbol{{\it\Sigma}}_{2}^{1}$-determinacy, that, for any analytic equivalence relation $E$, the following three statements are equivalent: (1) $E$ does not have perfectly many classes, (2) $E$ satisfies hyperarithmetic-is ...
ANTONIO MONTALBÁN
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Reducibility in Corsini hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them.
Kankaras Milica
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Strongly ergodic equivalence relations: spectral gap and type III invariants [PDF]
Ergodic Theory and Dynamical Systems, 2017 We obtain a spectral gap characterization of strongly ergodic equivalence relations on standard measure spaces. We use our spectral gap criterion to prove that a large class of skew-product equivalence relations arising from measurable $1$ -cocycles with
Cyril Houdayer +2 more
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Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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Identifying Non-Sublattice Equivalence Classes Induced by an Attribute Reduction in FCA
Mathematics, 2021 The detection of redundant or irrelevant variables (attributes) in datasets becomes essential in different frameworks, such as in Formal Concept Analysis (FCA).
Roberto G. Aragón +2 more
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Stability of products of equivalence relations [PDF]
Compositio Mathematica, 2017 An ergodic probability measure preserving (p.m.p.) equivalence relation ${\mathcal{R}}$ is said to be stable if ${\mathcal{R}}\cong {\mathcal{R}}\times {\mathcal{R}}_{0}$ where ${\mathcal{R}}_{0}$ is the unique hyperfinite ergodic type $\text{II}_{1 ...
A. Marrakchi
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Unsupervised Heterogeneous Domain Adaptation via Shared Fuzzy Equivalence Relations
IEEE transactions on fuzzy systems, 2018 Unsupervised domain adaptation (UDA) aims to recognize newly emerged patterns in target domains, which may be unlabeled, by leveraging knowledge from patterns learnt from source domains.
Feng Liu, Jie Lu, Guangquan Zhang
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Knowledge distance measure in multigranulation spaces of fuzzy equivalence relations
Information Sciences, 2018 Hierarchical quotient space structure (HQSS), which is a typical representation of multigranulation spaces, serves as the essential description tool of fuzzy equivalence relations.
Jie Yang, Guoyin Wang, Qinghua Zhang
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