No Uncountable Polish Group Can be a Right-Angled Artin Group
Axioms, 2017 We prove that if G is a Polish group and A a group admitting a system of generators whose associated length function satisfies: (i) if 0 < k < ω , then l g ( x ) ≤ l g ( x k ) ; (ii) if l g ( y ) < k < ω and x
Gianluca Paolini, Saharon Shelah
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A survey on difference hierarchies of regular languages [PDF]
Logical Methods in Computer Science, 2018 Difference hierarchies were originally introduced by Hausdorff and they play an important role in descriptive set theory. In this survey paper, we study difference hierarchies of regular languages.
Olivier Carton +2 more
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The Status of Normative Propositions in the Theory of Scientific Change
Scientonomy, 2016 The scope of the Theory of Scientific Change (TSC) encompasses any and all changes that occur in a given scientific mosaic, the set of all methods employed and theories accepted at a given time by a given scientific community.
Zoe Sebastien
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
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New Directions in Descriptive Set Theory [PDF]
Bulletin of Symbolic Logic, 1999 §1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually calledPolish spaces. Typical examples are ℝn, ℂn, (separable) Hilbert space and more generally all separable Banach spaces, theCantor space2ℕ, theBaire ...
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Descriptive Set Theory and Computable Topology (Dagstuhl Seminar 21461)
, 2022 Computability and continuity are closely linked - in fact, continuity can be seen as computability relative to an arbitrary oracle. As such, concepts from topology and descriptive set theory feature heavily in the foundations of computable analysis ...
Hoyrup, Mathieu +3 more
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An Application for Descriptive Nearness: Iris Recognition
Topological Algebra and its Applications, 2017 Near Set Theory has various applications in the literature. In this paper, using the concept descriptive nearness, we show how to perform iris recognition. This process has a few algorithms given via Mathematica Script Language.
Polat Kadirhan
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]
Logical Methods in Computer Science, 2011 In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
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Social representation of spiritual surgeries in Umbanda: culture, religion and contributions of nursing theory [PDF]
Revista Brasileira de Enfermagem, 2023 Objective: to analyze the social representation of spiritual surgeries in Umbanda for Bantu-Amerindian ritual mediums and their contributions to the cross-cultural care proposed by Madeleine Leininger.
Juliana de Lima Brandão +7 more
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Rate Distortion Theory for Descriptive Statistics
, 2022 Rate distortion theory was developed for optimizing lossy compression of data, but it also has a lot of applications in statistics. In this paper we will see how rate distortion theory can be used to analyze a complicated data set involving orientations ...
Harremoës, Peter, Peter Harremoës
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