Similarities between Analytic set and List of mathematical logic topics
Analytic set and List of mathematical logic topics have 8 things in common (in Unionpedia): Analytical hierarchy, Descriptive set theory, Perfect set property, Polish space, Projective hierarchy, Property of Baire, Tree (descriptive set theory), Universally measurable set.
Analytical hierarchy
In mathematical logic and descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy.
Analytic set and Analytical hierarchy · Analytical hierarchy and List of mathematical logic topics ·
Descriptive set theory
In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces.
Analytic set and Descriptive set theory · Descriptive set theory and List of mathematical logic topics ·
Perfect set property
In descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995, p. 150).
Analytic set and Perfect set property · List of mathematical logic topics and Perfect set property ·
Polish space
In the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset.
Analytic set and Polish space · List of mathematical logic topics and Polish space ·
Projective hierarchy
In the mathematical field of descriptive set theory, a subset A of a Polish space X is projective if it is \boldsymbol^1_n for some positive integer n. Here A is.
Analytic set and Projective hierarchy · List of mathematical logic topics and Projective hierarchy ·
Property of Baire
A subset A of a topological space X has the property of Baire (Baire property, named after René-Louis Baire), or is called an almost open set, if it differs from an open set by a meager set; that is, if there is an open set U\subseteq X such that A \bigtriangleup U is meager (where \bigtriangleup denotes the symmetric difference).
Analytic set and Property of Baire · List of mathematical logic topics and Property of Baire ·
Tree (descriptive set theory)
In descriptive set theory, a tree on a set X is a collection of finite sequences of elements of X such that every prefix of a sequence in the collection also belongs to the collection.
Analytic set and Tree (descriptive set theory) · List of mathematical logic topics and Tree (descriptive set theory) ·
Universally measurable set
In mathematics, a subset A of a Polish space X is universally measurable if it is measurable with respect to every complete probability measure on X that measures all Borel subsets of X. In particular, a universally measurable set of reals is necessarily Lebesgue measurable (see #Finiteness condition below).
Analytic set and Universally measurable set · List of mathematical logic topics and Universally measurable set ·
The list above answers the following questions
- What Analytic set and List of mathematical logic topics have in common
- What are the similarities between Analytic set and List of mathematical logic topics
Analytic set and List of mathematical logic topics Comparison
Analytic set has 18 relations, while List of mathematical logic topics has 354. As they have in common 8, the Jaccard index is 2.15% = 8 / (18 + 354).
References
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